On the solvability of the Neumann problem in domains with peak

DOI10.1090/S1061-0022-09-01072-3zbMath1206.35091MaRDI QIDQ3079274

S. V. Poborchii, Vladimir Gilelevich Maz'ya

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesNeumann problemdual spacesboundary tracesdomains with cusps

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Solvability criteria for the Neumann $p$-Laplacian with irregular data ⋮ Existence of solutions to the second boundary-value problem for the \(p\)-Laplacian on Riemannian manifolds

Cites Work

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• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Continuity of the boundary trace operator \(W_p^1(\Omega)\to L_Q(\partial\Omega)\) for a domain with outward peak
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder

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