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On a conjecture related to the number of solutions of a nonlinear Dirichlet problem

Published online by Cambridge University Press:  14 November 2011

A. C. Lazer  and
P. J. McKenna
A. C. Lazer
Affiliation:
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221, U.S.A.(Visiting University of Miami 1981–82)
P. J. McKenna
Affiliation:
Department of Mathematics, University of Florida, Gainesville, Florida 32611, U.S.A.
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Synopsis

In an earlier paper (1981), the present authors made a conjecture about the number of solutions of a semilinear elliptic boundary value problem which has been investigated extensively in the past decade. The conjecture is proved in the one-dimensional case.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 95 , Issue 3-4 , 1983 , pp. 275 - 283
Copyright
Copyright © Royal Society of Edinburgh 1983

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