order elliptic-parabolic equations are proved. These equations have the exponents of nonlinearity depending on the points of domain and the direction of differentiation. The weak solutions belong to some generalized Sobolev spaces.
Abstract
Existence and uniqueness of weak solutions of initial-boundary-value problems for second order elliptic-parabolic equations are proved. These equations have the exponents of nonlinearity depending on the points of domain and the direction of differentiation. The weak solutions belong to some generalized Sobolev spaces.