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
Montoro, L., Sciunzi, B., Squassina, M., Asymptotic symmetry for a class of quasi-linear parabolic problems, <<ADVANCED NONLINEAR STUDIES>>, 2010; 10 (4): 789-818. [doi:10.1515/ans-2010-0404] [http://hdl.handle.net/10807/89981]
Asymptotic symmetry for a class of quasi-linear parabolic problems
Squassina, MarcoUltimo
2010
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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