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On the existence and concentration of positive solutions to a class of quasilinear elliptic problems on

✍ Scribed by Claudianor O. Alves; Olímpio H. Miyagaki; Sérgio H. Monari Soares

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
148 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

This paper is concerned with the existence and concentration of positive solutions for the following quasilinear equation

The proof relies on variational methods by using directly the functional associated with the problem in an appropriate Sobolev space. It was found a family of solutions {u~ϵ~} concentrating around a local minimum of V as ϵ tends to zero. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

📜 SIMILAR VOLUMES

Large and Small Solutions of a Class of
Large and Small Solutions of a Class of Quasilinear Elliptic Eigenvalue Problems
✍ Zongming Guo; J.R.L Webb 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 330 KB

Existence and uniqueness results for large positive solutions are obtained for a class of quasilinear elliptic eigenvalue problems in general bounded smooth domains via a generalization of a sweeping principle of Serrin. The nonlinear terms of the problems can be negative in some intervals. The exis