Regularity theory for quasilinear elliptic equations of p-Schrödinger type with certain potentials

Abstract

In this paper we study the regularity theory in Orlicz spaces for the divergence quasilinear elliptic equations of p-Schrödinger type with certain potentials in the whole space R^n under some proper conditions. Especially when p=2, the above equation can be reduced to the classical linear divergence elliptic Schrödinger equation. Moreover, we would like to remark that the results in this work generalize the results of our previous paper.