Thin sets in weighted potential theory and degenerate elliptic equations

DOI10.1007/BF02113916zbMath0859.31009OpenAlexW2321319207MaRDI QIDQ1921754

Sergei Vodop'yanov

Publication date: 15 October 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02113916

zbMATH Keywords

Dirichlet problemthin setsdegenerate elliptic equationsweighted potential theory\(L_ p\)-theoryWiener irregular points

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Other generalizations (nonlinear potential theory, etc.) (31C45) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• Weighted inequalities and degenerate elliptic partial differential equations
• The Wiener test for degenerate elliptic equations
• Thin sets in nonlinear potential theory
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.