%0 Journal Article
%T Symmetry and convexity of level sets of solutions to infinity Laplace's equation
%A Edi Rosset
%J Electronic Journal of Differential Equations
%D 1998
%I Texas State University
%X We consider the Dirichlet problem $$displaylines{ -Delta_infty u=f(u) quad hbox{in }Omega,,cr u=0quad hbox{on }partialOmega,,} $$ where $Delta_infty u=u_{x_i}u_{x_j}u_{x_ix_j}$ and $f$ is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain $Omega$. We obtain results concerning convexity of level sets and symmetry of solutions.
%K Infinity-Laplace equation
%K p-Laplace equation.
%U http://ejde.math.txstate.edu/Volumes/1998/34/abstr.html