Bôcher's theorem with rough coefficients

DOI10.1007/s11118-020-09876-yzbMath1483.35083OpenAlexW3083084250MaRDI QIDQ2072148

Michael E. Taylor

Publication date: 26 January 2022

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-020-09876-y

zbMATH Keywords

Laplace operatorGreen functionharmonic functionsBôcher theoremelliptic regularity

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• The Green function for uniformly elliptic equations
• Pseudodifferential operators and nonlinear PDE
• Partial differential equations. 2: Qualitative studies of linear equations
• Harmonic Function Theory
• Bocher's Theorem
• Elliptic Partial Differential Equations of Second Order
• Elementary proofs of the Liouville and Bôcher theorems for polyharmonic functions
• Potential theory on lipschitz domains in riemannian manifolds: hölder continuous metric tensors
• Parametrices for Nonregular Elliptic Pseudodifferential Operators
• Pseudo-Differential Operators with Coefficients in Sobolev Spaces
• Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors
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