Multiplicity results for critical p-Laplacian problems

被引：6

作者：

Barletta, Giuseppina ^{[1
]}

Candito, Pasquale ^{[1
]}

Marano, Salvatore A. ^{[2
]}

Perera, Kanishka ^{[3
]}

机构：

[1] Univ Reggio Calabria, I-89100 Calabria, Italy

[2] Univ Catania, I-95125 Catania, Italy

[3] Florida Inst Technol, Melbourne, FL 32901 USA

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2017年 / 196卷 / 04期

关键词：

p-Laplacian; Critical Sobolev exponent; Multiplicity; Palais-Smale sequences; SCALAR FIELD-EQUATIONS; CRITICAL SOBOLEV GROWTH; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; R-N; EXISTENCE; SYMMETRY; NONLINEARITY;

D O I：

10.1007/s10231-016-0622-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of N distinct pairs of nontrivial solutions for critical p-Laplacian problems in R-N, as well as in bounded domains. To overcome the difficulties arising from the lack of compactness, we use a recent global compactness result of Mercuri and Willem.

引用

页码：1431 / 1440

页数：10

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