The heat flow with a critical exponential nonlinearity
Analysis of PDEs
2009-05-22 v2
Abstract
We analyze the possible concentration behavior of heat flows related to the Moser-Trudinger energy and derive quantization results completely analogous to the quantization results for solutions of the corresponding elliptic equation. As an application of our results we obtain the existence of critical points of the Moser-Trudinger energy in a supercritical regime.
Keywords
Cite
@article{arxiv.0902.4409,
title = {The heat flow with a critical exponential nonlinearity},
author = {Tobias Lamm and Frederic Robert and Michael Struwe},
journal= {arXiv preprint arXiv:0902.4409},
year = {2009}
}
Comments
final version, to appear in J. Funct. Anal