Abu-Muhanna, Y. and Lyzzaik, A., A geometric criterion for decomposition and multivalence, Math. Proc. Cambridge Philos. Soc. 103 (1988), 487–495CrossRefGoogle Scholar

Abu-Muhanna, Y. and Lyzzaik, A., The boundary behaviour of harmonic univalent maps, Pacific J. Math. 141 (1990), 1–20CrossRefGoogle Scholar

Abu-Muhanna, Y. and Schober, G., Harmonic mappings onto convex domains, Canad. J. Math. 39 (1987), 1489–1530CrossRefGoogle Scholar

L. V. Ahlfors, Lectures on Quasiconformal Mappings (Van Nostrand, Princeton, N.J., 1966)

L. V. Ahlfors, Conformal Invariants: Topics in Geometric Function Theory (McGraw-Hill, New York, 1973)

L. V. Ahlfors, Complex Analysis (Third Edition, McGraw-Hill, New York, 1979)

Avci, Y. and Złotkiewicz, E., On harmonic univalent functions, Ann. Univ. Mariae Curie-Skłodowska 44 (1990), 1–7Google Scholar

J. L. M. Barbosa and A. G. Colares, Minimal Surfaces in R3, Lecture Notes in Math. No. 1195 (Springer-Verlag, Berlin, 1986)

Bers, L., Isolated singularities of minimal surfaces, Ann. of Math. 53 (1951), 364–386CrossRefGoogle Scholar

Bers, L., Univalent solutions of linear elliptic systems, Comm. Pure Appl. Math. 6 (1953), 513–526CrossRefGoogle Scholar

Bojarski, B. V., Homeomorphic solutions of a Beltrami system, Dokl. Akad. Nauk SSSR 102 (1955), 661–664 (Russian)Google Scholar

Bojarski, B. V., On solutions of a linear elliptic system of differential equations in the plane, Dokl. Akad. Nauk SSSR 102 (1955), 871–874 (Russian)Google Scholar

Bojarski, B. V. and Iwaniec, T., Quasiconformal mappings and non-linear elliptic equations in two variables I, II, Bull. Polish Acad. Sci. Math. 22 (1974), 473–478, 479–484Google Scholar

Bshouty, D., Hengartner, N., and Hengartner, W., A constructive method for starlike harmonic mappings, Numer. Math. 54 (1988), 167–178CrossRefGoogle Scholar

D. Bshouty and W. Hengartner, Boundary correspondence of univalent harmonic mappings from the unit disc onto a Jordan domain, in Approximation by Solutions of Partial Differential Equations, Quadrature Formulas, and Related Topics, B. Fuglede et al., eds., NATO ASI Series C, Vol. 365 (Kluwer Academic Publishers, Dordrecht-Boston-London, 1992), pp. 51–60

Bshouty, D. and Hengartner, W., Univalent solutions of the Dirichlet problem for ring domains, Complex Variables Theory Appl. 21 (1993), 159–169CrossRefGoogle Scholar

Bshouty, D. and Hengartner, W., Univalent harmonic mappings in the plane, Ann. Univ. Mariae Curie-Skłodowska 48 (1994), 12–42Google Scholar

Bshouty, D. and Hengartner, W., Boundary values versus dilatations of harmonic mappings, J. Analyse Math. 72 (1997), 141–164CrossRefGoogle Scholar

Bshouty, D. and Hengartner, W., Exterior univalent harmonic mappings with finite Blaschke dilatations, Canad. J. Math. 51 (1999), 470–487CrossRefGoogle Scholar

Bshouty, D., Hengartner, W., and Hossian, O., Harmonic typically real mappings, Math. Proc. Cambridge Philos. Soc. 119 (1996), 673–680CrossRefGoogle Scholar

Bshouty, D., Hengartner, W., and Suez, T., The exact bound on the number of zeros of harmonic polynomials, J. Analyse Math. 67 (1995), 207–218CrossRefGoogle Scholar

Chen, H., Gauthier, P. M., and Hengartner, W., Bloch constants for planar harmonic mappings, Proc. Amer. Math. Soc. 128 (2000), 3231–3240CrossRefGoogle Scholar

Choquet, G., Sur un type de transformation analytique généralisant la représentation conforme et définie au moyen de fonctions harmoniques, Bull. Sci. Math. 69 (1945), 156–165Google Scholar

Choquet, G., Sur les homéomorphies harmoniques d'un disque D sur D, Complex Variables Theory Appl. 24 (1993), 47–48CrossRefGoogle Scholar

Chuaqui, M., Duren, P., and Osgood, B., The Schwarzian derivative for harmonic mappings, J. Analyse Math. 91 (2003), 329–351CrossRefGoogle Scholar

Cima, J. A. and Livingston, A. E., Integral smoothness properties of some harmonic mappings, Complex Variables Theory Appl. 11 (1989), 95–110CrossRefGoogle Scholar

Cima, J. A. and Livingston, A. E., Nonbasic harmonic maps onto convex wedges, Colloq. Math. 66 (1993), 9–22CrossRefGoogle Scholar

Clunie, J. and Sheil-Small, T., Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A.I 9 (1984), 3–25Google Scholar

Colonna, F., The Bloch constant of bounded harmonic mappings, Indiana Univ. Math. J. 38 (1989), 829–840CrossRefGoogle Scholar

Vries, H. L., A remark concerning a lemma of Heinz on harmonic mappings, J. Math. Mech. 11 (1962), 469–471Google Scholar

Vries, H. L., Über Koeffizientenprobleme bei Eilinien und über die Heinzsche Konstante, Math. Z. 112 (1969), 101–106CrossRefGoogle Scholar

U. Dierkes, S. Hildebrandt, A. Küster, and O. Wohlrab, Minimal Surfaces I (Springer-Verlag, Berlin-Heidelberg-New York, 1991)

Dorff, M. J., Some harmonic n-slit mappings, Proc. Amer. Math. Soc. 126 (1998), 569–576CrossRefGoogle Scholar

Dorff, M. J., Convolutions of planar harmonic convex mappings, Complex Variables Theory Appl. 45 (2001), 263–271CrossRefGoogle Scholar

Dorff, M. J., Minimal graphs in ℝ3 over convex domains, Proc. Amer. Math. Soc. 132 (2004), 491–498CrossRefGoogle Scholar

Dorff, M. J. and Suffridge, T. J., The inner mapping radius of harmonic mappings of the unit disk, Complex Variables Theory Appl. 33 (1997), 97–103CrossRefGoogle Scholar

Dorff, M. and Szynal, J., Harmonic shears of elliptic integrals, Rocky Mountain J. Math., to appear

Driver, K. and Duren, P., Harmonic shears of regular polygons by hypergeometric functions, J. Math. Anal. Appl. 239 (1999), 72–84CrossRefGoogle Scholar

P. L. Duren, Theory of HpSpaces (Academic Press, New York, 1970; reprinted with supplement by Dover Publications, Mineola, N.Y., 2000)

P. L. Duren, Univalent Functions (Springer-Verlag, New York, 1983)

P. L. Duren, A survey of harmonic mappings in the plane, in Texas Tech University, Mathematics Series, Visiting Scholars' Lectures 1990–1992, vol. 18 (1992), pp. 1–15

Duren, P. and Hengartner, W., A decomposition theorem for planar harmonic mappings, Proc. Amer. Math. Soc. 124 (1996), 1191–1195CrossRefGoogle Scholar

Duren, P. and Hengartner, W., Harmonic mappings of multiply connected domains, Pacific J. Math. 180 (1997), 201–220CrossRefGoogle Scholar

Duren, P., Hengartner, W., and Laugesen, R. S., The argument principle for harmonic functions, Amer. Math. Monthly 103 (1996), 411–415CrossRefGoogle Scholar

Duren, P. and Khavinson, D., Boundary correspondence and dilatation of harmonic mappings, Complex Variables Theory Appl. 33 (1997), 105–111CrossRefGoogle Scholar

Duren, P. and Schober, G., A variational method for harmonic mappings onto convex regions, Complex Variables Theory Appl. 9 (1987), 153–168CrossRefGoogle Scholar

Duren, P. and Schober, G., Linear extremal problems for harmonic mappings of the disk, Proc. Amer. Math. Soc. 106 (1989), 967–973CrossRefGoogle Scholar

Duren, P. and Thygerson, W. R., Harmonic mappings related to Scherk's saddle-tower minimal surfaces, Rocky Mountain J. Math. 30 (2000), 555–564CrossRefGoogle Scholar

Finn, R. and Osserman, R., On the Gauss curvature of non-parametric minimal surfaces, J. Analyse Math. 12 (1964), 351–364CrossRefGoogle Scholar

FitzGerald, C. and Pommerenke, Ch., The de Branges theorem on univalent functions, Trans. Amer. Math. Soc. 290 (1985), 683–690CrossRefGoogle Scholar

W. H. J. Fuchs, Topics in the Theory of Functions of One Complex Variable (Van Nostrand, Princeton, N.J., 1967)

Gleason, S. and Wolff, T. H., Lewy's harmonic gradient maps in higher dimensions, Comm. Partial Differential Equations 16 (1991), 1925–1968CrossRefGoogle Scholar

G. M. Goluzin, Geometric Theory of Functions of a Complex Variable (Moscow, 1952; German transl., Deutscher Verlag, Berlin, 1957; Second Edition, Izdat. “Nauka”, Moscow, 1966; English transl., American Mathematical Society, Providence, R.I., 1969)

Goodloe, M. R., Hadamard products of convex harmonic mappings, Complex Variables Theory Appl. 47 (2002), 81–92CrossRefGoogle Scholar

Goodman, A. W. and Saff, E. B., On univalent functions convex in one direction, Proc. Amer. Math. Soc. 73 (1979), 183–187CrossRefGoogle Scholar

P. Greiner, Boundary properties of planar harmonic mappings, Ph. D. Thesis, University of Michigan, 1995

Greiner, P., Geometric properties of harmonic shears, Computational Methods and Function Theory, to appear

Grigoryan, A. and Nowak, M., Integral means of harmonic mappings, Ann. Univ. Mariae Curie-Skł, odowska 52 (1998), 25–34Google Scholar

Grigoryan, A. and Nowak, M., Estimates of integral means of harmonic mappings, Complex Variables Theory Appl. 42 (2000), 151–161CrossRefGoogle Scholar

Grigoryan, A. and Szapiel, W., Two-slit harmonic mappings, Ann. Univ. Mariae Curie-Skł, odowska 49 (1995), 59–84Google Scholar

Hall, R. R., On a conjecture of Shapiro about trigonometric series, J. London Math. Soc. 25 (1982), 407–415CrossRefGoogle Scholar

Hall, R. R., On an inequality of E. Heinz, J. Analyse Math. 42 (1982/83), 185–198CrossRefGoogle Scholar

Hall, R. R., A class of isoperimetric inequalities, J. Analyse Math. 45 (1985), 169–180CrossRefGoogle Scholar

Hall, R. R., The Gaussian curvature of minimal surfaces and Heinz' constant, J. Reine Angew. Math. 502 (1998), 19–28Google Scholar

W. K. Hayman, Multivalent Functions (Cambridge University Press, London, 1958)

Heinz, E., Über die Lösungen der Minimalflächengleichung, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. (1952), 51–56Google Scholar

Heinz, E., On one-to-one harmonic mappings, Pacific J. Math. 9 (1959), 101–105CrossRefGoogle Scholar

Hengartner, W. and Schober, G., On schlicht mappings to domains convex in one direction, Comm. Math. Helv. 45 (1970), 303–314CrossRefGoogle Scholar

Hengartner, W. and Schober, G., A remark on level curves for domains convex in one direction, Appl. Analysis 3 (1973), 101–106CrossRefGoogle Scholar

Hengartner, W. and Schober, G., Univalent harmonic mappings onto parallel slit domains, Michigan Math. J. 32 (1985), 131–134Google Scholar

Hengartner, W. and Schober, G., On the boundary behavior of orientation-preserving harmonic mappings, Complex Variables Theory Appl. 5 (1986), 197–208CrossRefGoogle Scholar

Hengartner, W. and Schober, G., Harmonic mappings with given dilatation, J. London Math. Soc. 33 (1986), 473–483CrossRefGoogle Scholar

Hengartner, W. and Schober, G., Univalent harmonic functions, Trans. Amer. Math. Soc. 299 (1987), 1–31CrossRefGoogle Scholar

W. Hengartner and G. Schober, Curvature estimates for some minimal surfaces, in Complex Analysis: Articles Dedicated to Albert Pfluger on the Occasion of his 80th Birthday, J. Hersch and A. Huber, editors (Birkhäuser Verlag, Basel, 1988), pp. 87–100

Hengartner, W. and Schober, G., Univalent harmonic exterior and ring mappings, J. Math. Anal. Appl. 156 (1991), 154–171CrossRefGoogle Scholar

Hengartner, W. and Szynal, J., Univalent harmonic ring mappings vanishing on the interior boundary, Canad. J. Math. 44 (1992), 308–323CrossRefGoogle Scholar

Hersch, J. and Pfluger, A., Généralisation du lemme de Schwarz et du principe de la mesure harmonique pour les fonctions pseudo-analytiques, C. R. Acad. Sci. Paris 234 (1952), 43–45Google Scholar

Hildebrandt, S. and Sauvigny, F., Embeddedness and uniqueness of minimal surfaces solving a partially free boundary value problem, J. Reine Angew. Math. 422 (1991), 69–89Google Scholar

Hoffman, D., The computer-aided discovery of new embedded minimal surfaces, Math. Intelligencer 9 (1987), 8–21CrossRefGoogle Scholar

Hopf, E., On an inequality for minimal surfaces z = z(x, y), J. Rational Mech. Anal. 2 (1953), 519–522; 801–802Google Scholar

Jahangiri, J. M., Morgan, C., and Suffridge, T. J., Construction of close-to-convex harmonic polynomials, Complex Variables Theory Appl. 45 (2001), 319–326CrossRefGoogle Scholar

S. H. Jun, Harmonic mappings and applications to minimal surfaces, Ph. D. Thesis, Indiana University, 1989

Jun, S. H., Curvature estimates for minimal surfaces, Proc. Amer. Math. Soc. 114 (1992), 527–533CrossRefGoogle Scholar

Jun, S. H., Univalent harmonic mappings on Δ = }z: |z| > 1{, Proc. Amer. Math. Soc. 119 (1993), 109–114

Jun, S. H., Planar harmonic mappings and curvature estimates, J. Korean Math. Soc. 32 (1995), 803–814Google Scholar

Khavinson, D. and Swiatek, G., On the number of zeros of certain harmonic polynomials, Proc. Amer. Math. Soc. 131 (2003), 409–414CrossRefGoogle Scholar

Kneser, H., Lösung der Aufgabe 41, Jahresber. Deutsch. Math.-Verein. 35 (1926), 123–124Google Scholar

Krzyż, J., and Nowak, M., Harmonic automorphisms of the unit disk, J. Comput. Appl. Math. 105 (1999), 337–346CrossRefGoogle Scholar

Laugesen, R. S., Injectivity can fail for higher-dimensional harmonic extensions, Complex Variables Theory Appl. 28 (1996), 357–369CrossRefGoogle Scholar

Laugesen, R. S., Planar harmonic maps with inner and Blaschke dilatations, J. London Math. Soc. 56 (1997), 37–48CrossRefGoogle Scholar

O. Lehto, Univalent Functions and Teichmüller Spaces (Springer-Verlag, New York, 1987)

O. Lehto and K. I. Virtanen, Quasiconformal Mappings in the Plane (Second Edition, Springer-Verlag, Berlin-Heidelberg-New York, 1973)

Lewy, H., On the non-vanishing of the Jacobian in certain one-to-one mappings, Bull. Amer. Math. Soc. 42 (1936), 689–692CrossRefGoogle Scholar

Lewy, H., On the non-vanishing of the jacobian of a homeomorphism by harmonic gradients, Ann. of Math. 88 (1968), 518–529CrossRefGoogle Scholar

Liu, H. and Liao, G., A note on harmonic maps, Appl. Math. Lett. 9 (1996), no. 4, 95–97CrossRefGoogle Scholar

Livingston, A. E., Univalent harmonic mappings, Ann. Polon. Math. 57 (1992), 57–70CrossRefGoogle Scholar

Livingston, A. E., Univalent harmonic mappings II, Ann. Polon. Math. 67 (1997), 131–145CrossRefGoogle Scholar

Lyzzaik, A., On the valence of some classes of harmonic maps, Math. Proc. Cambridge Philos. Soc. 110 (1991), 313–325CrossRefGoogle Scholar

Lyzzaik, A., Local properties of light harmonic mappings, Canad. J. Math. 44 (1992), 135–153CrossRefGoogle Scholar

Lyzzaik, A., The geometry of some classes of folding polynomials, Complex Variables Theory Appl. 20 (1992), 145–155CrossRefGoogle Scholar

Lyzzaik, A., Univalence criteria for harmonic mappings in multiply-connected domains, J. London Math. Soc. 58 (1998), 163–171CrossRefGoogle Scholar

Lyzzaik, A., A note on the valency of harmonic maps, J. Math. Anal. Appl. 218 (1998), 611–620CrossRefGoogle Scholar

Lyzzaik, A., The modulus of the image annuli under univalent harmonic mappings and a conjecture of J. C. C. Nitsche, J. London Math. Soc. 64 (2001), 369–384CrossRefGoogle Scholar

Martio, O., On harmonic quasiconformal mappings, Ann. Acad. Sci. Fenn. Ser. A.I, (1968), 3–10Google Scholar

Mateljević, M. and Pavlović, M., Multipliers of Hp and BMOA, Pacific J. Math. 146 (1990), 71–84CrossRefGoogle Scholar

Melas, A. D., An example of a harmonic map between Euclidean balls, Proc. Amer. Math. Soc. 117 (1993), 857–859CrossRefGoogle Scholar

Nehari, Z., The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc. 55 (1949), 545–551CrossRefGoogle Scholar

Z. Nehari Conformal Mapping (McGraw-Hill, New York, 1952; reprinted by Dover Publications, New York, 1975)

Neumann, G., Valence of complex-valued planar harmonic functions, to appear

Nitsche, J. C. C., Über eine mit der Minimalflächengleichung zusammenhängende analytische Funktion und den Bernsteinschen Satz, Archiv der Math. (Basel) 7 (1956), 417–419CrossRefGoogle Scholar

Nitsche, J. C. C., On harmonic mappings, Proc. Amer. Math. Soc. 9 (1958), 268–271CrossRefGoogle Scholar

Nitsche, J. C. C., On an estimate for the curvature of minimal surfaces z = z(x, y), J. Math. Mech. 7 (1958), 767–769Google Scholar

Nitsche, J. C. C., On the constant of E. Heinz, Rend. Circ. Mat. Palermo 8 (1959), 178–181CrossRefGoogle Scholar

Nitsche, J. C. C., On the module of doubly-connected regions under harmonic mappings, Amer. Math. Monthly 69 (1962), 781–782CrossRefGoogle Scholar

Nitsche, J. C. C., Zum Heinzschen Lemma über harmonische Abbildungen, Arch. Math. (Basel) 14 (1963), 407–410CrossRefGoogle Scholar

J. C. C. Nitsche, Lectures on Minimal Surfaces, Vol. I (Cambridge University Press, Cambridge, 1989)

Nowak, M., Integral means of univalent harmonic maps, Ann. Univ. Mariae Curie-Skł, odowska 50 (1996), 155–162Google Scholar

Osserman, R., On the Gauss curvature of minimal surfaces, Trans. Amer. Math. Soc. 96 (1960), 115–128CrossRefGoogle Scholar

Osserman, R., Global properties of classical minimal surfaces, Duke Math. J. 32 (1965), 565–573CrossRefGoogle Scholar

R. Osserman, A Survey of Minimal Surfaces (Second Edition, Dover Publications, Mineola, N.Y., 1986)

R. Osserman, Minimal surfaces in R3, in Global Differential Geometry, S. S. Chern, editor, Mathematical Association of America Studies in Mathematics Vol. 27 (1989), pp. 73–98

G. Pólya and G. Szegő, Isoperimetric Inequalities in Mathematical Physics (Princeton University Press, Princeton, N.J., 1951)

Ch. Pommerenke, Univalent Functions (Vandenhoeck & Ruprecht, Göttingen, 1975)

Radó, T., Aufgabe 41, Jahresber. Deutsch. Math.-Verein. 35 (1926), 49Google Scholar

Radó, T., Über den analytischen Charakter der Minimalflächen, Math. Z. 24 (1926), 321–327CrossRefGoogle Scholar

Radó, T., Zu einem Satze von S. Bernstein über Minimalflächen im Grossen, Math. Z. 26 (1927), 559–565CrossRefGoogle Scholar

Reich, E., The composition of harmonic mappings, Ann. Acad. Sci. Fenn. Ser. A.I 12 (1987), 47–53Google Scholar

Reich, E., Local decomposition of harmonic mappings, Complex Variables Theory Appl. 9 (1987), 263–269CrossRefGoogle Scholar

H. Renelt, Quasikonforme Abbildungen und elliptische Systeme erster Ordnung in der Ebene (B. G. Teubner, Leipzig, 1982); English edition: Elliptic Systems and Quasiconformal Mappings (John Wiley & Sons, New York, 1988)

Robertson, M. S., Analytic functions star-like in one direction, Amer. J. Math. 58 (1936), 465–472CrossRefGoogle Scholar

Royster, W. C. and Ziegler, M., Univalent functions convex in one direction, Publ. Math. Debrecen 23 (1976), 339–345Google Scholar

W. Rudin, Principles of Mathematical Analysis (Third Edition, McGraw-Hill, New York, 1976)

Ruscheweyh, St. and Salinas, L., On the preservation of direction-convexity and the Goodman-Saff conjecture, Ann. Acad. Sci. Fenn. Ser. A.I 14 (1989), 63–73Google Scholar

Schaubroeck, L. E., Subordination of planar harmonic functions, Complex Variables Theory Appl. 41 (2000), 163–178CrossRefGoogle Scholar

Schaubroeck, L. E., Growth, distortion and coefficient bounds for plane harmonic mappings convex in one direction, Rocky Mountain J. Math. 31 (2001), 625–639CrossRefGoogle Scholar

G. Schober, Planar harmonic mappings, in Computational Methods and Function Theory, Lecture Notes in Math. No. 1435 (Springer-Verlag, Berlin-Heidelberg, 1990), pp. 171–176

J. T. Schwartz, Nonlinear Functional Analysis (Gordon and Breach, New York, 1969)

H. S. Shapiro, Research problems in complex analysis (edited by J. M. Anderson, K. F. Barth, and D. A. Brannan), Bull. London Math. Soc. 9 (1977), 129–162; Problem No. 7.26, p. 146

Sheil-Small, T., On the Fourier series of a finitely described convex curve and a conjecture of H. S. Shapiro, Math. Proc. Cambridge Philos. Soc. 98 (1985), 513–527CrossRefGoogle Scholar

Sheil, T.-Small, On the Fourier series of a step function, Michigan Math. J. 36 (1989), 459–475Google Scholar

Sheil, T.-Small, Constants for planar harmonic mappings, J. London Math. Soc. 42 (1990), 237–248CrossRefGoogle Scholar

J. J. Stoker, Differential Geometry (Wiley-Interscience, New York, 1969)

D. J. Struik, Lectures on Classical Differential Geometry (Second Edition, Addison-Wesley, Cambridge, Mass., 1961; reprinted by Dover Publications, Mineola, N.Y., 1988)

Suffridge, T. J., Harmonic univalent polynomials, Complex Variables Theory Appl. 35 (1998), 93–107CrossRefGoogle Scholar

Suffridge, T. J. and Thompson, J. W., Local behavior of harmonic mappings, Complex Variables Theory Appl. 41 (2000), 63–80CrossRefGoogle Scholar

Szulkin, A., An example concerning the topological character of the zero-set of a harmonic function, Math. Scand. 43 (1978), 60–62CrossRefGoogle Scholar

Ullman, J. L. and Titus, C. J., An integral inequality with applications to harmonic mappings, Michigan Math. J. 10 (1963), 181–192Google Scholar

N. Vekua, Generalized Analytic Functions (Pergamon Press, London, 1962)

A. Weitsman, Harmonic mappings whose dilatations are singular inner functions, preprint (1996)

Weitsman, A., On the dilatation of univalent planar harmonic mappings, Proc. Amer. Math. Soc. 126 (1998), 447–452CrossRefGoogle Scholar

Weitsman, A., On the Fourier coefficients of homeomorphisms of the circle, Math. Res. Lett. 5 (1998), 383–390CrossRefGoogle Scholar

Weitsman, A., On univalent harmonic mappings and minimal surfaces, Pacific J. Math. 192 (2000), 191–200CrossRefGoogle Scholar

Weitsman, A., Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche, Israel J. Math. 124 (2001), 327–331CrossRefGoogle Scholar

Weitsman, A., On the Poisson integral of step functions and minimal surfaces, Canad. Math. Bull. 45 (2002), 154–160CrossRefGoogle Scholar

W. L. Wendland, Elliptic Systems in the Plane (Pitman, London, 1979)

Wilmshurst, A., The valence of harmonic polynomials, Proc. Amer. Math. Soc. 126 (1998), 2077–2081CrossRefGoogle Scholar

Wood, J. C., Lewy's theorem fails in higher dimensions, Math. Scand. 69 (1991), 166CrossRefGoogle Scholar