Regularity Results For Div-Curl Fields And Applications

The aim of this paper is to prove higher integrability results for div-curl vector fieldsεsufficiently small,such that div B=0, curl E=0 satisfying a reverse inequality of the type with F∈Lr(Ω, Rn), r> q(1-ε). Applications to the theory of weak quasiregular mappings and very weak solutions of nonhomogeneous A-harmonic equations of the type are given.