Articles

THREE NONTRIVIAL SOLUTIONS FOR A NONLINEAR ANISOTROPIC NONLOCAL EQUATION

  • Amin ESFAHANI
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  • School of Mathematics and Computer Science, Damghan University, 36715-364 Damghan, Iran

Received date: 2016-09-02

  Revised date: 2017-11-11

  Online published: 2018-08-25

Abstract

In this article, we establish the existence of a sign-changing solution and two sign-constant solutions for nonlinear nonlocal problem involving the BO-ZK operator on bounded domain. Our main tool is constrained minimization on appropriate Nehari manifolds.

Cite this article

Amin ESFAHANI . THREE NONTRIVIAL SOLUTIONS FOR A NONLINEAR ANISOTROPIC NONLOCAL EQUATION[J]. Acta mathematica scientia, Series B, 2018 , 38(4) : 1296 -1310 . DOI: 10.1016/S0252-9602(18)30815-4

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