Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations

Matteo Cozzi, Alberto Farina, Enrico Valdinoci

We consider the Wulff-type energy functional $${\mathcal{W}}_{\Omega }(u):={\int }_{\Omega }B(H(\nabla u(x)))-F(u(x))dx,$$ where $B$ is positive, monotone and convex, and $H$ is positive hom…