Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction
Analysis of PDEs
2020-04-27 v1
Abstract
We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carath\'eodory terms. One is parametric, -sublinear with a partially concave nonlinearity near zero. The other is -superlinear and has almost critical growth. Exploiting the special geometry of the problem, we prove a bifurcation-type result, describing the changes in the set of positive solutions as the parameter varies.
Keywords
Cite
@article{arxiv.2004.11592,
title = {Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction},
author = {N. S. Papageorgiou and D. D. Repovš and C. Vetro},
journal= {arXiv preprint arXiv:2004.11592},
year = {2020}
}