Asymptotic symmetry for a class of quasi-linear parabolic problems

Details Asymptotic symmetry for a class of quasi-linear parabolic problems Asymptotic symmetry for a class of quasi-linear parabolic problems

2009-06-12

arxiv.org/abs/0906.2352v3

Mathematics

Analysis of PDEs

29 pages

Scientific paper

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 $\omega$-limit set are nonnegative radially symmetric solutions of the stationary problem.

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