Multiple perturbations of a singular eigenvalue problem
Analysis of PDEs
2016-02-23 v1
Abstract
We study the perturbation by a critical term and a -superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle in the singular case, we prove the existence of solutions for positive values of the parameter under the principal eigenvalue of the associated singular eigenvalue problem.
Cite
@article{arxiv.1602.06749,
title = {Multiple perturbations of a singular eigenvalue problem},
author = {Matija Cencelj and Dušan Repovš and Žiga Virk},
journal= {arXiv preprint arXiv:1602.06749},
year = {2016}
}