New Existence of Solutions for the Fractional p-Laplacian Equations with Sign-Changing Potential and Nonlinearity

被引：17

作者：

Cheng, Bitao ^{[1
]}

Tang, Xianhua ^{[2
]}

机构：

[1] Qujing Normal Univ, Sch Math & Stat, Qujing 655011, Yunnan, Peoples R China

[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

关键词：

Fractional p-Laplacian equations; sign-changing potential and nonlinearity; variational methods; SEMILINEAR SCHRODINGER-EQUATIONS; ELLIPTIC PROBLEMS; MULTIPLE SOLUTIONS;

D O I：

10.1007/s00009-016-0691-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we consider the fractional p-Laplacian equation where p >= 2, N >= 2, 0 < s < 1, V. C( R-N, R) and f. C( R-N x R, R) are allowed to be sign- changing. In such a double sign-changing case, a new result on the existence of nontrivial solutions for Eq. ( 1.1) is obtained via variational methods, which is even new for p = 2.

引用

页码：3373 / 3387

页数：15

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