Weak solutions for a fractional equation in Rn with Kirchhoff terms

被引：6

作者：

Cammaroto, F. ^{[1
]}

Vilasi, L. ^{[1
]}

机构：

[1] Univ Messina, Dept Math & Comp Sci, Phys Sci & Earth Sci, Messina, Italy

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2016年 / 61卷 / 10期

关键词：

Kirchhoff problem; Schrodinger operator; fractional p-Laplacian; multiplicity; 35J60; 35R11; SCHRODINGER-EQUATION; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1080/17476933.2016.1177029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We explore the multiplicity of weak solutions to a nonlocal equation in R-n governed by a fractional power of the p-Laplacian combined with a Kirchhoff-type term. The nonlinearity involves two real parameters, one of which is of perturbing nature, and can overpower the critical fractional exponent. Our arguments rely upon the variational apparatus; the lack of compactness of the Sobolev embeddings is circumvented by the use of convenient weight functions.

引用

页码：1362 / 1374

页数：13

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