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Fixed Point Theory and Algorithms for Sciences and Engineering
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Existence of Solutions for a Nonlinear Elliptic Equation with General Flux Term

Fixed Point Theory and Applications volume 2011, Article number: 496417 (2011) Cite this article

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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  1. Department of Applied Mathematics, Dankook University, Cheonan, Chungnam, 330-714, Republic of Korea

    HeeChul Pak

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  1. HeeChul Pak
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Correspondence to HeeChul Pak.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Pak, H. Existence of Solutions for a Nonlinear Elliptic Equation with General Flux Term. Fixed Point Theory Appl 2011, 496417 (2011). https://doi.org/10.1155/2011/496417

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

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