On representation of the solution of the Neumann problem in a domain with peak by the harmonic simple layer potential

DOI10.3103/S1063454109030066zbMath1179.35109MaRDI QIDQ1036943

S. V. Poborchii, Vladimir Gilelevich Maz'ya

Publication date: 13 November 2009

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

LaplacianNeumann problemsimple layer potentialoutward isoalted peak

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (2)

Seventy five (thousand) unsolved problems in analysis and partial differential equations ⋮ Representation of a solution of the Dirichlet problem in a planar cusp domain as a logarithmic single-layer potential

Cites Work

• Unnamed Item
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• The Neumann problem on Lipschitz domains
• Geometry and stability of bubbles with gravity

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