Multiplicity and Concentration of Positive Solutions for a Class of Quasilinear Problems-Reference-Cited by-同舟云学术

Multiplicity and Concentration of Positive Solutions for a Class of Quasilinear Problems

Published:2011-05-01 Issue:2 Volume:11 Page:265-294
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Alves Claudianor O.¹,Figueiredo Giovany M.²

Affiliation:

1. Universidade Federal de Campina Grande Departamento de Matemática e Estatística CEP: 58109-970, Campina Grande - Pb, Brazil

2. Universidade Federal do Pará Faculdade de Matemática, CEP: 66075-110 Belém - Pa , Brazil

Abstract

Abstract In this work we study multiplicity and concentration of nontrivial solutions for the following class of quasilinear problems: -div(a(|▽u|p)|▽u|p-2▽u) + V(εx)b(|u|p)|u|p-2u=f(u), where ε is a positive parameter, a, b, f : ℝ → ℝ are C1 functions and V : ℝN →ℝ is a continuous function.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2011-0203/pdf

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