Kirchhoff-type problems involving subcritical and superlinear nonlinearities satisfying no further condition
Analysis of PDEs
2017-10-18 v2 Optimization and Control
Abstract
In this note, we deal with a problem of the type \cases {-h\left ( \int_{\Omega}|\nabla u(x)|^2dx\right ) \Delta u=f(u) & in $\Omega$\cr & \cr u_{|\partial\Omega}=0\ .\cr} As an application of a new general multiplicity result, we establish the existence of at least three solutions, two of which are global minima of the related energy functional. The only condition assumed on is that it be subcritical and superlinear: no condition on the behaviour of at is requested.
Keywords
Cite
@article{arxiv.1710.05676,
title = {Kirchhoff-type problems involving subcritical and superlinear nonlinearities satisfying no further condition},
author = {Biagio Ricceri},
journal= {arXiv preprint arXiv:1710.05676},
year = {2017}
}