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.
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页数：15
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