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Fully Nonlinear Elliptic Equations on General Domains

  • Jiguang Bao

Abstract

By means of the Pucci operator, we construct a function ${{u}_{0}}$ , which plays an essential role in our considerations, and give the existence and regularity theorems for the bounded viscosity solutions of the generalized Dirichlet problems of second order fully nonlinear elliptic equations on the general bounded domains, which may be irregular. The approximation method, the accretive operator technique and the Caffarelli's perturbation theory are used.

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Copyright

Corresponding author

Current address: Pacific Institute for the Mathematical Sciences, 1933 West Mall, University of British Columbia, Vancouver, British Columbia, V6T 1Z2, e-mail: jbao@pims.math.ca

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Permanent address: Department of Mathematics, Beijing Normal University, Beijing, 100875, People's Republic of China e-mail: jgbao@bnu.edu.cn

Footnotes

References

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Fully Nonlinear Elliptic Equations on General Domains

  • Jiguang Bao

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