THREE NONTRIVIAL SOLUTIONS FOR A NONLINEAR ANISOTROPIC NONLOCAL EQUATION

被引：0

作者：

Esfahani, Amin ^{[1
]}

机构：

[1] Damghan Univ, Sch Math & Comp Sci, Damghan 36715364, Iran

来源：

ACTA MATHEMATICA SCIENTIA | 2018年 / 38卷 / 04期

关键词：

sign-constant and nodal solutions; BO-ZK operator; variational method; PARABOLIC INTEGRODIFFERENTIAL EQUATIONS; SCHRODINGER-POISSON SYSTEM; SIGN-CHANGING SOLUTIONS; SCALAR FIELD-EQUATIONS; FRACTIONAL LAPLACIANS; NODAL SOLUTIONS; POSITIVE SOLUTIONS; GROUND-STATE; EXISTENCE; REGULARITY;

D O I：

10.1016/S0252-9602(18)30815-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1296 / 1310

页数：15

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