A note on the existence and multiplicity of solutions for sublinear fractional problems

被引：0

作者：

Fu, Yongqiang ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2017年

基金：

中国国家自然科学基金;

关键词：

fractional p-Laplacian problem; variational method; multiple solutions;

D O I：

10.1186/s13661-017-0903-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of weak solutions for fractional p-Laplacian equations with sublinear growth and oscillatory behavior as the following L-K(p) u = lambda f(x, u) in Omega, u = 0 in R-N \ Omega, where L-K(p) is a nonlocal operator with singular kernel, Omega is an open bounded smooth domain of R-N. Our purpose is to generalize the known results for fractional Laplacian equations to fractional p-Laplacian equations.

引用

页数：15

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