Concentration-compactness principle for mountain pass problems
Analysis of PDEs
2007-05-23 v1 Functional Analysis
Abstract
In the paper we show that critical sequences associated with the mountain pass level for semilinear elliptic problems on converge when the non-linearity is subcritical, superlinear and satisfies the penalty condition . The proof suggests a concentration compactness framework for minimax problems, similar to that of P.-L.Lions for constrained minima.
Cite
@article{arxiv.math/0505454,
title = {Concentration-compactness principle for mountain pass problems},
author = {Kyril Tintarev},
journal= {arXiv preprint arXiv:math/0505454},
year = {2007}
}