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

For a class of nonlinear elliptic boundary value problems in divergence form, we construct some general elliptic inequalities for appropriate combinations of u(x) and |∇u|2, where u(x) are the solutions of our problems. From these inequalities, we derive, using Hopf's maximum principles, s...

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Bibliographic Details
Main Author: Cristian Enache
Format: Article
Language:English
Published: SpringerOpen 2006-06-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/BVP/2006/64543