Some nonlinear equations of the nonstable filtration type and embedding theorems


Soltanov K. N.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, cilt.65, sa.11, ss.2103-2134, 2006 (SCI-Expanded) identifier identifier

Özet

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. (c) 2006 Elsevier Ltd. All rights reserved.