Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839618 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 9 Pages |
Abstract
We study the perturbation by a critical term and a (p−1)(p−1)-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.
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Authors
Matija Cencelj, Dušan Repovš, Žiga Virk,