Asymptotic Symmetry for a Class of Quasi-Linear Parabolic Problems

Luigi Montoro, Berardino Sciunzi, Marco Squassina
2010 Advanced Nonlinear Studies  
AbstractWe 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.
doi:10.1515/ans-2010-0404 fatcat:z3ag3vlndrbc3akltsq5nvhv4e