Resumen de Renormalized Solutions for Nonlinear Degenerate Elliptic Problems with L1 Data

Kaouther Ammar, Hicham Redwane

• We are interested in a class of nonlinear degenerate diffusion problems with a diffusion function a(x, u, Vu) which is not controlled with respect to u and which is not uniformly coercive on the weighted Sobolev spaces W1,p0 (O, w). Existence of a renormalized solution is proved in the L1-setting.