Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities

We prove radial symmetry for bounded nonnegative solutions of a weighted anisotropic problem. Given the setting that we deal with, term "radial" is understood in Finsler framework. In whole space, J. Serra obtained result isotropic unweighted setting. this case provide extension his to This provides generalization celebrated due Gidas-Ni-Nirenberg and such new even linear operators whenever dimension greater than 2. proper cones, results presented are suitable nonlinear cases. Even previously known setting, present paper an approach problem by exploiting integral (in)equalities which $N>2$: complements corresponding via moving planes method Berestycki-Pacella.