Open Access

Maximum principles for a class of nonlinear second-order elliptic boundary value problems in divergence form

Boundary Value Problems20062006:64543

https://doi.org/10.1155/BVP/2006/64543

Received: 22 January 2006

Accepted: 26 March 2006

Published: 18 June 2006

Abstract

For a class of nonlinear elliptic boundary value problems in divergence form, we construct some general elliptic inequalities for appropriate combinations of and , where are the solutions of our problems. From these inequalities, we derive, using Hopf's maximum principles, some maximum principles for the appropriate combinations of and , and we list a few examples of problems to which these maximum principles may be applied.

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Authors’ Affiliations

(1)
Department of Mathematics and Computer Science, Ovidius University

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Copyright

© Enache 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.