Super critical problems with concave and convex nonlinearities in $\mathbb R^N$
Analysis of PDEs
2018-08-09 v1
Abstract
In this paper, by utilizing a newly established variational principle on convex sets, we provide an existence and multiplicity result for a class of semilinear elliptic problems defined on the whole with nonlinearities involving sublinear and superlinear terms. We shall impose no growth restriction on the nonlinear term and consequently our problem can be super-critical by means of Sobolev spaces.
Keywords
Cite
@article{arxiv.1808.02762,
title = {Super critical problems with concave and convex nonlinearities in $\mathbb R^N$},
author = {J. M. do Ó and P. K. Mishra and A. Moameni},
journal= {arXiv preprint arXiv:1808.02762},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1706.08385