On solutions of the Dirichlet problem for the polyharmonic equation in unbounded domains

DOI10.1134/S2070046615010069zbMath1325.35032MaRDI QIDQ2515298

H. A. Matevossian

Publication date: 31 July 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemSobolev spaceDirichlet integralpolyharmonic equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

On solutions of the Neumann problem for the biharmonic equation in unbounded domains ⋮ On solutions of the mixed Dirichlet-Navier problem for the polyharmonic equation in exterior domains ⋮ On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains ⋮ On the mixed Neumann-Robin problem for the elasticity system in exterior domains ⋮ On solutions of the Navier problem for a polyharmonic equation in unbounded domains ⋮ Dirichlet-Neumann problem for the biharmonic equation in exterior domains ⋮ Mixed Dirichlet-Steklov problem for the biharmonic equation in weighted spaces ⋮ On solutions of a boundary value problem for the biharmonic equation ⋮ On solutions of the Dirichlet problem for the polyharmonic equation in unbounded domains ⋮ Mixed Biharmonic Dirichlet-Neumann Problem in Exterior Domains

Cites Work

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• Solutions of exterior boundary-value problems for the elasticity system in weighted spaces
• ON THE DIMENSION OF THE SOLUTION SPACE OF ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS

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