Unique solvability of the Neumann problem with weighted boundary data on a bounded \(C^{1}\) domain

DOI10.1016/j.jmaa.2016.06.034zbMath1345.31016OpenAlexW2464015404MaRDI QIDQ530326

Xudong Lai, Ding, Yong

Publication date: 29 July 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.06.034

zbMATH Keywords

Laplace operatorNeumann problem\(C^1\) domain in \(\mathbb R^n\)

Mathematics Subject Classification ID

Connections of harmonic functions with differential equations in higher dimensions (31B35) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (1)

Weighted \(L^p\) boundary value problems for Laplace's equation on (semi-)convex domains

Cites Work

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• Multi-layer potentials and boundary problems for higher-order elliptic systems in Lipschitz domains
• Partial differential equations. I: Basic theory
• Potential techniques for boundary value problems on \(C^1\)-domains
• The \(L^{p}\) boundary value problems on Lipschitz domains
• Applications of the Cauchy integral on Lipschitz curves
• Weighted estimates in 𝐿² for Laplace’s equation on Lipschitz domains
• Classical Fourier Analysis
• Weighted estimates for elliptic systems on Lipschitz domains

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