On a class of Kirchhoff type problems

被引：31

作者：

Huang, Yisheng ^{[1
]}

Liu, Zeng ^{[1
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China

来源：

ARCHIV DER MATHEMATIK | 2014年 / 102卷 / 02期

关键词：

Kirchhoff type problem; Ground state; Nodal solution; Nehari manifold; SIGN-CHANGING SOLUTIONS; POSITIVE SOLUTIONS; NODAL SOLUTIONS; EXISTENCE; MULTIPLICITY; EQUATIONS;

D O I：

10.1007/s00013-014-0618-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the following Kirchhoff type problem: (kappa) (1 vertical bar lambda integral(R3) (vertical bar del u vertical bar(2) vertical bar V(y)u(2)dy)) [-Delta u vertical bar V(x)u] = vertical bar u vertical bar(p-2)u, in R-3 where p is an element of (2, 6), lambda > 0 is a parameter, and V(x) is a given potential. Some existence and nonexistence results are obtained by using variational methods. Also, the "energy doubling" property of nodal solutions of is discussed in this paper.

引用

页码：127 / 139

页数：13

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