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  • Research Article
  • 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:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Maximum Principle

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Authors’ Affiliations

(1)
Department of Mathematics and Computer Science, Ovidius University, Constanta, 900 527, Romania

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