Potential theory for quasilinear elliptic equations (Q2718934)

The paper deals with potential theory associated to the quasilinear elliptic equation NEWLINE\[NEWLINE -\text{div } (A(x,\nabla u))+B(x,u)=0 NEWLINE\]NEWLINE where \(A: {\mathbb R}^d\times {\mathbb R}^d\to {\mathbb R}^d\) and \(B\colon\;{\mathbb R}^d\times {\mathbb R}\to {\mathbb R}\) are Carathéodory functions, satisfying suitable structure conditions. The authors study validity of Bauer's, Brelot's and Keller-Osserman's convergence properties. Existence of Evans' functions is discussed as well.