The heat flow with a critical exponential nonlinearity

Details The heat flow with a critical exponential nonlinearity The heat flow with a critical exponential nonlinearity

2009-02-25

arxiv.org/abs/0902.4409v2

Mathematics

Analysis of PDEs

final version, to appear in J. Funct. Anal

Scientific paper

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.

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