The Nehari manifold for a class of Schrodinger equation involving fractional p-Laplacian and sign-changing logarithmic nonlinearity

被引：11

作者：

Le Xuan Truong ^{[1
]}

机构：

[1] Univ Econ Ho Chi Minh City, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 11期

关键词：

SEMILINEAR ELLIPTIC EQUATION; POSITIVE SOLUTIONS;

D O I：

10.1063/1.5084062

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the Schrodinger equation involving fractional p-Laplacian on the whole space of the form (-Delta)(p)(s)u + V(x)vertical bar u vertical bar(p-2)u = lambda K(x)vertical bar u vertical bar(p-2)u + mu Q(x)vertical bar u vertical bar(p-2)u log vertical bar u vertical bar, with the sign-changing weight function Q and the possibly vanishing potential V. By using the relationship between fibering maps and the Nehari manifold, we obtain the existence of at least two nontrivial solutions. Published under license by AIP Publishing.

引用

页数：12

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