This volume is devoted to questions of solvability of basic boundary value problems for quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order, and
also to the investigation of differential and certain qualitative properties of solutions of such
equations. A theory of generalized solvability of boundaiy value problems is constructed for quasilinear
equations with specific degeneracy of eUipticity or paiabolicity. Regularity of generalized solutions
of quasilinear degenerate parabolic equations is studied. Existence theorems for a classical solution
of the first boundary value problem are established for large classes of quasilinear nonuniformly
elliptic and parabolic equations.