Multiplicity and concentration behavior of solutions for a quasilinear problem involving N-functions via penalization method

In this work we study the existence, multiplicity and concentration of positive solutions for the quasilinear problem $$ - \Delta_{\Phi}u + V(\epsilon x)\phi(| u|)u = f(u)\quad \text{in } \mathbb{R}^N, $$ where $\Phi(t) = \int_0^{| t|}\phi(s)sds$ is an N-function, $\Delta_{\Phi}$ is the $\Phi...

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Bibliographic Details
Main Authors: Claudianor O. Alves, Ailton R. da Silva
Format: Article
Language:English
Published: Texas State University 2016-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/158/abstr.html