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Advanced Nonlinear Studies

Editor-in-Chief: Shair Ahmad

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Volume 11, Issue 2

Issues

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

Claudianor O. Alves
  • Universidade Federal de Campina Grande Departamento de Matemática e Estatística CEP: 58109-970, Campina Grande - Pb, Brazil
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/ Giovany M. Figueiredo
Published Online: 2016-03-10 | DOI: https://doi.org/10.1515/ans-2011-0203

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.

Keywords: Variational methods; Quasilinear equations; Nonlinear Schrodinger equations

About the article

Received: 2010-03-08

Published Online: 2016-03-10

Published in Print: 2011-05-01


Citation Information: Advanced Nonlinear Studies, Volume 11, Issue 2, Pages 265–294, ISSN (Online) 2169-0375, ISSN (Print) 1536-1365, DOI: https://doi.org/10.1515/ans-2011-0203.

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Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[2]
Claudianor O. Alves and Ailton R. da Silva
Journal of Mathematical Physics, 2016, Volume 57, Number 11, Page 111502
[3]
Marcio F Chaves, Grey Ercole, and Olimpio H Miyagaki
Boundary Value Problems, 2014, Volume 2014, Number 1
[4]
Claudianor O. Alves and Olímpio H. Miyagaki
Calculus of Variations and Partial Differential Equations, 2016, Volume 55, Number 3
[5]
Sara Barile and Giovany Malcher Figueiredo
Journal of Mathematical Analysis and Applications, 2015, Volume 427, Number 2, Page 1205

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