Egularity in orlicz spaces for quasi-linear elliptic equations of schrodinger type

Abstract

In this paper, we generalize gradient estimates in Lebesgue spaces to Orlicz spaces for weak solutions of quasi-linear elliptic equations of Schr ¨odinger type on a Reifenberg flat domain, under the condition that the coefficients are in John-Nirenberg space with small BMO semi-norms. We assume that the potential belongs to some certain reverse H ¨older class. Our results improve the known results for such equations using a harmonic analysis-free technique