Bounded Solutions to nonlinear problems involving the fractional laplacian depending on parameters
Analysis of PDEs
2016-04-04 v1
Abstract
The main goal of this paper is the study of two kinds of nonlinear problems depending on parameters in unbounded domains. Using a nonstandard variational approach, we first prove the existence of bounded solutions for nonlinear eigenvalue problems involving the fractional Laplace operator and nonlinearities that have subcritical growth. In the second part, based on a variational principle of Ricceri [16], we study a fractional nonlinear problem with two parameters and prove the existence of multiple solutions.
Cite
@article{arxiv.1603.03973,
title = {Bounded Solutions to nonlinear problems involving the fractional laplacian depending on parameters},
author = {Said El Manouni and Hichem Hajaiej and Patrick Winkert},
journal= {arXiv preprint arXiv:1603.03973},
year = {2016}
}
Comments
16