Boundary behavior of solutions to elliptic equations in general domains /
Vladimir G. Mazya.
- x, 430 pages ; 25 cm.
- EMS tracts in mathematics ; 30 .
- EMS tracts in mathematics ; 30. .
Includes bibliographical references (pages 419-428) and index.
Behavior near the boundary of solutions to the Dirichlet problem for a second-order elliptic equation -- An analogue of the Wiener criterion for the Zaremba problem for the Laplacian in a half-cylinder -- Wiener type test for the Zaremba problem for degenerate elliptic operators in a half-cylinder -- Modulus of continuity of solutions to quasilinear elliptic equations -- Discontinuous solution to the p-Laplace equation -- Wiener test for higher-order elliptic equations -- Wiener test for the polyharmonic equation -- Wiener type regularity of a boundary point for the 3D Lam�e system -- Boundedness of derivatives of solutions to the Dirichlet problem for the polyharmonic equation -- Polyharmonic capacities and higher-order Wiener test.