Nonhomogeneous Neumann problem for the Poisson equation in domains with an external cusp

DOI10.1016/j.jmaa.2005.01.065zbMath1073.35073OpenAlexW2052902747MaRDI QIDQ2568187

Ricardo G. Durán, Gabriel Acosta, Ariel L. Lombardi, María Gabriela Armentano

Publication date: 10 October 2005

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.2005.01.065

zbMATH Keywords

Neumann problemTracesRegularityCuspidal domains

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25)

Related Items (10)

SOLUTIONS OF THE DIVERGENCE AND ANALYSIS OF THE STOKES EQUATIONS IN PLANAR HÖLDER-α DOMAINS ⋮ Shape derivative of the Dirichlet energy for a transmission problem ⋮ Laplace equation on a domain with a cuspidal point in little Hölder spaces ⋮ Conformal mapping for cavity inverse problem: an explicit reconstruction formula ⋮ Principal eigenvalues for generalised indefinite Robin problems ⋮ The spectral position of Neumann domains on the torus ⋮ The Steklov eigenvalue problem in a cuspidal domain ⋮ Embeddings for the space on sets of finite perimeter ⋮ Finite element approximations in a non-Lipschitz domain: Part II ⋮ Embedding theorem for bounded deformations in domains with cusps

Cites Work

• Boundary value problems in domains with cuspidal points
• Equivalent Norms for Sobolev Spaces
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