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Existence and nonexistence of positive solutions for quasilinear systems

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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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References

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    Wang H: An existence theorem for quasilinear systems. to appear in Proceedings of the Edinburgh Mathematical Society

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Correspondence to Haiyan Wang.

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Keywords

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