The multidirectional Neumann problem in \(\mathbb R^{4}\)

DOI10.1007/s00208-006-0756-5zbMath1102.31008OpenAlexW1971537991MaRDI QIDQ2432022

Gregory C. Verchota, Andrew L. Vogel

Publication date: 25 October 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-006-0756-5

zbMATH Keywords

harmonic functions3-manifoldhomology spherelayer potentialshellingbi-Lipschitz mappingmethod of continuityatomic estimatecompact polyhedral domainpolyhedral Rellich inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

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