-Laplacian problems involving critical Hardy-Sobolev exponents

被引：0

作者：

Perera, Kanishka ^{[1
]}

Zou, Wenming ^{[2
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2018年 / 25卷 / 03期

关键词：

p-Laplacian problems; Critical Hardy-Sobolev exponents; Existence; Multiplicity; Bifurcation; Critical point theory; Cohomological index; Pseudo-index; P-LAPLACIAN; NONLINEARITY; BIFURCATION; EQUATIONS; LINKING;

D O I：

10.1007/s00030-018-0517-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence, multiplicity, and bifurcation results for p-Laplacian problems involving critical Hardy-Sobolev exponents. Our results are mainly for the case and extend results in the literature for . In the absence of a direct sum decomposition, we use critical point theorems based on a cohomological index and a related pseudo-index.

引用

页数：16

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