On the existence and concentration of positive solutions to a class of quasilinear elliptic problems on \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}$\end{document}

Mathematische Nachrichten - Tập 284 Số 14-15 - Trang 1784-1795 - 2011
Claudianor O. Alves1, Olı́mpio H. Miyagaki2, Sérgio H. Monari Soares3
1Unidade Acadêmica de Matemática e Estatística, Universidade Federal de Campina Grande,58109‐970 Campina Grande, PB, Brazil, Phone: +55 83 2101 1030, Fax: +55 83 2101 1030
2Departamento de Matemática, Universidade Federal de Juiz de Fora, 36036-330, Juiz de Fora, MG, Brazil
3Departamento de Matemática, ICMC/USP, Universidade de São Paulo, 13560‐970 São Carlos, SP, Brazil, Phone: +55 16 3373 9700, Fax: +55 16 3371 2238

Tóm tắt

AbstractThis 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 {uϵ} concentrating around a local minimum of V as ϵ tends to zero. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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Mathematische Nachrichten

Tập 284 Số 14-15

1784-1795

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