Multi-peak solutions for a class of degenerate elliptic equations

被引：0

作者：

Giacomini, A

Squassina, M

机构：

[1] Scuola Int Super Studi Avanzati, I-34014 Trieste, Italy

[2] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

来源：

ASYMPTOTIC ANALYSIS | 2003年 / 36卷 / 02期

关键词：

multi-peak solutions; degenerate elliptic equations; nonsmooth critical point theory; Palais-Smale condition; Pohozaev-Pucci-Serrin identity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of a penalization argument due to del Pino and Felmer, we prove the existence of multi-spike solutions for a class of quasilinear elliptic equations under natural growth conditions. Compared with the semilinear case some difficulties arise, mainly concerning the properties of the limit equation. The study of concentration of the solutions requires a somewhat involved analysis in which a Pucci-Serrin type identity plays an important role.

引用

页码：115 / 147

页数：33

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