Explicit form of fundamental solutions to certain elliptic equations and associated $B$- and $C$-capacities

DOI10.4213/sm9807eMaRDI QIDQ6148129

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Publication date: 11 January 2024

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sm9807

zbMATH Keywords

capacityfundamental solutionhomogeneous second-order elliptic equationelliptic quadratic form

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Second-order elliptic systems (35J47)

Cites Work

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• A criterion for uniform approximability of individual functions by solutions of second-order homogeneous elliptic equations with constant complex coefficients
• On the solvability and stability of the Dirichlet problem
• A Notion of Capacity Which Characterizes Removable Singularities

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