Multiple solutions for a p-Laplacian elliptic problem

被引：0

作者：

Zeng, Jing ^{[1
]}

Cai, Shuting ^{[2
]}

机构：

[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China

[2] Fujian Jiangxia Univ, Dept Math & Phys, Fuzhou 350108, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

p-Laplacian; infinitely many radial solutions and non-radial solutions; group invariant; SCALAR FIELD-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE; SYMMETRY;

D O I：

10.1186/1687-2770-2014-124

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the following p-Laplacian elliptic equation on W-1,W-p(R-N): -Delta(p)u + b(vertical bar x vertical bar)vertical bar u vertical bar(p-2)u = f (vertical bar x vertical bar, u). For certain f (vertical bar x vertical bar, u), we are interested in the functional on a group invariant subspace, and we obtain the existence of infinitely many radial solutions and non-radial solutions of the equation, which extends the result of (Bartsch and Willem in J. Funct. Anal. 117:447-460, 1993) to the space W-1,W-p(R-N).

引用

页数：9

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