Some nonlinear equations of the nonstable filtration type and embedding theorems

In this article we consider some mixed problems with implicit degenerate equations. For their investigation we study certain properties of a class of pn-spaces connected with nonlinear boundary value problems. Further, using the results obtained we prove the solvability of some nonlinear boundary value problems with various elliptic–parabolic equations, and also a boundary problem for an equation of the nonstable filtration type.