Symmetry and stability of non-negative solutions to degenerate elliptic equations in a ball

Friedemann Brock, Peter Takac

We consider non-negative distributional solutions $u\in C^1(\overline{B_R})$ to the equation $-\mbox{div} [g(|\nabla u|)|\nabla u|^{-1} \nabla u ] = f(|x|,u)$ in a ball $B_R$, with $…