On a non-homogeneous eigenvalue problem involving a potential: an Orlicz-Sobolev space setting
Analysis of PDEs
2016-08-26 v1
Abstract
In this paper we study a non-homogeneous eigenvalue problem involving variable growth conditions and a potential . The problem is analyzed in the context of Orlicz-Sobolev spaces. Connected with this problem we also study the optimization problem for the particular eigenvalue given by the infimum of the Rayleigh quotient associated to the problem with respect to the potential when lies in a bounded, closed and convex subset of a certain variable exponent Lebesgue space.
Keywords
Cite
@article{arxiv.1608.07062,
title = {On a non-homogeneous eigenvalue problem involving a potential: an Orlicz-Sobolev space setting},
author = {Mihai Mihăilescu and Vicenţiu Rădulescu and Dušan Repovš},
journal= {arXiv preprint arXiv:1608.07062},
year = {2016}
}