Positive solutions for nonvariational Robin problems
Analysis of PDEs
2018-07-10 v1
Abstract
We study a nonlinear Robin problem driven by the -Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of the original equation, we show the existence of a positive smooth solution.
Cite
@article{arxiv.1807.02831,
title = {Positive solutions for nonvariational Robin problems},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:1807.02831},
year = {2018}
}