Energy properties of critical Kirchhoff problems with applications
Analysis of PDEs
2018-10-18 v1
Abstract
In this paper we fully characterize the sequentially weakly lower semicontinuity of the parameter-depending energy functional associated with the critical Kirchhoff problem. We also establish sufficient criteria with respect to the parameters for the convexity and validity of the Palais-Smale condition of the same energy functional. We then apply these regularity properties in the study of some elliptic problems involving the critical Kirchhoff term.
Keywords
Cite
@article{arxiv.1810.07537,
title = {Energy properties of critical Kirchhoff problems with applications},
author = {Francesca Faraci and Csaba Farkas and Alexandru Kristály},
journal= {arXiv preprint arXiv:1810.07537},
year = {2018}
}
Comments
13 pages; 3 figures