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Existence and nonexistence of positive solutions for quasilinear systems

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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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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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Point Theorem