Title of article
The heat flow with a critical exponential nonlinearity
Author/Authors
Tobias Lamm، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
48
From page
2951
To page
2998
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.
© 2009 Elsevier Inc. All rights reserved
Keywords
Critical nonlinear heat flows , Critical Sobolev embedding , Energy quantization
Journal title
Journal of Functional Analysis
Serial Year
2009
Journal title
Journal of Functional Analysis
Record number
840017
Link To Document