ON SOLVABILITY OF THE BOUNDARY-VALUE PROBLEM FOR (p,q)-NONLINEAR ELLIPTIC AND PARABOLIC EQUATIONS

摘要

A class of nonuniform (p,q)-nonlinear elliptic equations is considered. The existence of a classical global solution to the Dirichlet problem is established for some parameters p and q characterizing the growth with respect to the gradient of a solution. The result is generalized to a special class of (p, q)-nonlinear parabolic equations.