Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Existence of Solutions for a Class of p(x)-Kirchhoff Type Equation with Dependence on the Gradient

  • Received : 2017.05.29
  • Accepted : 2018.07.18
  • Published : 2018.09.23
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Abstract

The object of this work is to study the existence of solutions for a class of p(x)-Kirchhoff type problem under no-flux boundary conditions with dependence on the gradient. We establish our results by using the degree theory for operators of ($S_+$) type in the framework of variable exponent Sobolev spaces.

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References

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