Asymptotic symmetry for a class of quasi-linear parabolic problems

Luigi Montoro; Berardino Sciunzi; Marco Squassina

Asymptotic symmetry for a class of quasi-linear parabolic problems

Analysis of PDEs 2009-10-09 v3

Authors: Luigi Montoro , Berardino Sciunzi , Marco Squassina

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

Keywords

quasi-linear elliptic problem weak positive solution symmetry parabolic equation asymptotic behavior ω-limit set radially symmetric solution

Cite

@article{arxiv.0906.2352,
  title  = {Asymptotic symmetry for a class of quasi-linear parabolic problems},
  author = {Luigi Montoro and Berardino Sciunzi and Marco Squassina},
  journal= {arXiv preprint arXiv:0906.2352},
  year   = {2009}
}

Comments

29 pages

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