The heat flow with a critical exponential nonlinearity

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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.
final version, to appear in J. Funct. Anal

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Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/230985

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.4409
 http://arxiv.org/abs/0902.4409

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arXiv