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Maximum principles for a class of nonlinear second order elliptic differential equations

Giovanni Porru·Tewodros Amdeberhan·S. Vernier-Piro
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Abstract

In this paper we investigate maximum principles for functionals defined on solutions to special partial differential equations of elliptic type, extending results by Payne and Philippin. We apply such maximum principles to investigate one overdetermined problem.

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Giovanni Porru, Tewodros Amdeberhan, S. Vernier-Piro. 1998-04-25. Maximum principles for a class of nonlinear second order elliptic differential equations. https://arxiv.org/abs/math/9804125

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