Multi-peak solutions for a class of degenerate elliptic equations

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.

Keywords

Analysis of PDEs, 35J40; 58E05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/66663

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303004
 http://arxiv.org/abs/math/0303004

Collections

arXiv