Description
Title: Existence and regularity theory in weighted Sobolev spaces and
applications.
Abstract: My emphasis in this talk will be on functional analytical tools to
the solvability and uniqueness of solutions to the nonhomogeneous boundary
value problems, dealing with degenerate PDEs of elliptic type. My aim is to
consider possibly general class of weights. In particular, I consider the
$B_{p}$-class of weights, introduced by Kufner and Opic, which is much more
general class than the commonly studied Muckenhoupt $A_{p}$-class.