Nonlinear potential theory and weighted Sobolev spaces (Q1572656)

The aim of this Lecture Note is to show how a number of results from the theory of non-weighted Sobolev spaces and from non-weighted potential theory can be extended to the weighted context. Almost all results are established for Muckenhoupt weights; a few results are shown to hold for more general classes of weights such as doubling weights. The book is based on the Ph. D. thesis of the author and the results are due to himself.