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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

  • Received: 22 January 2006
  • Accepted: 26 March 2006
  • Published:


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.


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


Authors’ Affiliations

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


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© 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.