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On the behaviour of solutions to the Dirichlet problem for second order elliptic equations near edges and polyhedral vertices with critical angles

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Publication:1319029
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DOI10.4171/ZAA/527zbMath0802.35034MaRDI QIDQ1319029

Jürgen Rossmann, Vladimir Gilelevich Maz'ya

Publication date: 12 April 1994

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)


zbMATH Keywords

cornerssingular boundaryasymptotic expansions near edges


Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic expansions of solutions to PDEs (35C20)


Related Items (4)

Mixed boundary value problems for nonlinear elliptic equations in multidimensional non-smooth domains ⋮ The Poisson equation in axisymmetric domains with conical points ⋮ Computation of 3D vertex singularities for linear elasticity: Error estimates for a finite element method on graded meshes ⋮ Mixed boundary value problems for nonlinear elliptic systems in \(n\)-dimensional Lipschitzian domains







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