Gradient estimates for nonlinear elliptic equations with first order terms

Abstract

We study existence and Lorentz regularity of distributional solutions to elliptic equations with either a convection or a drift first order term. The presence of such a term makes the problem not coercive. The main tools are pointwise estimates of the rearrangements of both the solution and its gradient.

Cited by in corpus (1)

• On scale invariant bounds for Green's function for second order elliptic equations with lower order coefficients and applications