Parabolic oblique derivative problem in generalized Morrey spaces

We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the strong solution belongs to the corresponding generalized Sobolev-Morrey space

The Dirichlet problem for elliptic equations with VMO coefficients in generalized Morrey spaces

We consider the Dirichlet problem in a bounded smooth domain for linear uniformly elliptic equation with VMO coefficients. We show global regularity of the strong solution in a kind of generalized Morrey spaces