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...
Main Authors: | , |
---|---|
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 |