Rosset, Edi2019-03-252019-03-251998-12-09Rosset, E. (1998). Symmetry and convexity of level sets of solutions to the infinity Laplace's equation. <i>Electronic Journal of Differential Equations, 1998,</i>(34), pp. 1-12.1072-6691https://hdl.handle.net/10877/7947We consider the Dirichlet problem -Δ∞u = ƒ(u) in Ω, u = 0 on ∂Ω, where Δ∞u = uxi, uxj, uxi xj and ƒ is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain Ω. We obtain results concerning convexity of level sets and symmetry of solutions.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalInfinity-Laplace equationp-Laplace equationArticle