Nonlinear anisotropic elliptic and parabolic equations in R-N with advection and lower order terms and locally integrable data

摘要

We prove existence and regularity results for distributional solutions in R-N for nonlinear elliptic and parabolic equations with general anisotropic diffusivities as well as advection and lower-order terms that satisfy appropriate growth conditions. The data are assumed to be merely locally integrable.