Mazya, Vladimir G.,

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.

3037191902 9783037191903

2019301162


Differential equations, Elliptic.
Differential equations, Elliptic.

QA377 / .M295 2018

515.3533