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arXiv · 0906.2352

Asymptotic symmetry for a class of quasi-linear parabolic problems

Luigi Montoro·Berardino Sciunzi·Marco Squassina
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Abstract

We study the symmetry properties of the weak positive solutions to a class of quasi-linear elliptic problems having a variational structure. On this basis, the asymptotic behaviour of global solutions of the corresponding parabolic equations is also investigated. In particular, if the domain is a ball, the elements of the $ω$-limit set are nonnegative radially symmetric solutions of the stationary problem.

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Luigi Montoro, Berardino Sciunzi, Marco Squassina. 2009-10-09. Asymptotic symmetry for a class of quasi-linear parabolic problems. https://arxiv.org/abs/0906.2352

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