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Maximum principles for a class of nonlinear second-order elliptic boundary value problems in divergence form
Boundary Value Problems volume 2006, Article number: 64543 (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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Enache, C. Maximum principles for a class of nonlinear second-order elliptic boundary value problems in divergence form. Bound Value Probl 2006, 64543 (2006). https://doi.org/10.1155/BVP/2006/64543
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DOI: https://doi.org/10.1155/BVP/2006/64543