Open Access

Existence of Solutions for a Nonlinear Elliptic Equation with General Flux Term

Fixed Point Theory and Applications20112011:496417

https://doi.org/10.1155/2011/496417

Received: 25 September 2010

Accepted: 27 February 2011

Published: 14 March 2011

Abstract

We prove the existence of solutions for an elliptic partial differential equation having more general flux term than either -Laplacian or flux term of the Leray-Lions type conditions: . Brouwer's fixed point theorem is one of the fundamental tools of the proof.

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Authors’ Affiliations

(1)
Department of Applied Mathematics, Dankook University

Copyright

© Hee Chul Pak. 2011

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.