Potential theory for quasiliniear elliptic equations

Abstract

We discuss the potential theory associated with the quasilinear elliptic equation $$-{ m div}(A(x,abla u))+B(x,u)=0.$$ We study the validity of Bauer convergence property, the Brelot convergence property. We discuss the validity of the Keller-Osserman property and the existence of Evans functions