Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions
Analysis of PDEs
2019-06-24 v1
Abstract
We consider two classes of nonlinear eigenvalue problems with double-phase energy and lack of compactness. We establish existence and non-existence results and related properties of solutions. Our analysis combines variational methods with the generalized Pucci-Serrin maximum principle.
Cite
@article{arxiv.1906.09001,
title = {Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions},
author = {István Faragó and Dušan Repovš},
journal= {arXiv preprint arXiv:1906.09001},
year = {2019}
}