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Existence and nonexistence of positive solutions for quasilinear systems

Boundary Value Problems volume 2006, Article number: 71534 (2006) Cite this article

Abstract

The paper deals with the existence and nonexistence of positive solutions for a class of-Laplacian systems. We investigate the effect of the size of the domain on the existence of positive solution for the problem in sublinear cases. We will use fixed point theorems in a cone.

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Authors and Affiliations

  1. Department of Mathematical Sciences & Applied Computing, Arizona State University, Phoenix, AZ, 85069-7100, USA

    Haiyan Wang

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  1. Haiyan Wang
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Correspondence to Haiyan Wang.

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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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Wang, H. Existence and nonexistence of positive solutions for quasilinear systems. Bound Value Probl 2006, 71534 (2006). https://doi.org/10.1155/BVP/2006/71534

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  • DOI: https://doi.org/10.1155/BVP/2006/71534

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