Infinitely Many Solutions for Sublinear Schrodinger-Kirchhoff-Type Equations With General Potentials

被引：17

作者：

Duan, Lian ^{[1
]}

Huang, Lihong ^{[1
,2
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

[2] Hunan Womens Univ, Dept Informat Technol, Changsha 410004, Hunan, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2014年 / 66卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Schrodinger-Kirchhoff-type equation; sublinear; genus; critical point theory; HIGH-ENERGY SOLUTIONS; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; EXISTENCE; MULTIPLICITY;

D O I：

10.1007/s00025-014-0371-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of sublinear Schrodinger-Kirchhoff problem in R-n. Some new criteria to guarantee that the existence of infinitely many solutions for the considered problem is established by using the genus properties in critical point theory, which extend and complement previously known results in the literature.

引用

页码：181 / 197

页数：17

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