We consider the equation −infinity-Laplacian(u) = f(u) in a domain Omega with zero Dirichlet condition. where f is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain. We obtain results concerning convexity of level sets and symmetry of solutions.
Symmetry and convexity of level sets of solutions to $Delta_infty u+f(u)=0$
ROSSET, EDI
1998-01-01
Abstract
We consider the equation −infinity-Laplacian(u) = f(u) in a domain Omega with zero Dirichlet condition. where f is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain. We obtain results concerning convexity of level sets and symmetry of solutions.File in questo prodotto:
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