Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity

被引：1

作者：

Luo, Huxiao ^{[1
]}

Li, Shengjun ^{[2
,3
]}

He, Wenfeng ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Hainan Univ, Coll Informat Sci & Technol, Haikou 570228, Hainan, Peoples R China

[3] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

D O I：

10.1155/2018/7935706

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the following fractional p-Laplacian equation: (-Delta)(p)(alpha)u + V(x)vertical bar u vertical bar(p-2)u = f(x, u) - Gamma(x)vertical bar u vertical bar(q-2)u, x subset of R-N, where N <= 2, p(alpha)* > q > p >= 2, alpha is an element of (0,1), (-Delta)(p)(alpha) is the fractional p-Laplacian, and Gamma is an element of L-infinity(R-N) and Gamma(x) >= 0 for a.e. x is an element of R-N. f has the subcritical growth but higher than Gamma(x)vertical bar u vertical bar(q-2)u; however, the nonlinearity f(x, u)-Gamma(x)vertical bar u vertical bar(q-2) may change sign. If V is coercive, we investigate the existence of ground state solutions for p-Laplacian equation.

引用

页数：5

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