Nonlinear Anisotropic Elliptic and Parabolic Equations in RN with Advection and Lower Order Terms and Locally Integrable Data

Abstract

We prove existence and regularity results for distributional solutions in RN 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.