Nonlinear Potential Theory and Weighted Sobolev Spaces

by Bengt O. Turesson

2000 173 pages eng

The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space theory c…