Symmetry results for nonlinear elliptic operators with unbounded drift

Alberto Farina, Matteo Novaga, Andrea Pinamonti

We prove the one-dimensional symmetry of solutions to elliptic equations of the form $-\dive(e^{G(x)}a(|\nabla u|)\nabla u)=f(u) e^{G(x)}$, under suitable energy conditions. Our re…