On solutions of the Neumann problem for the biharmonic equation in unbounded domains

DOI10.1134/S0001434615110334zbMath1336.31018MaRDI QIDQ268125

O. A. Matevossian

Publication date: 14 April 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

unbounded domainbiharmonic equation

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (16)

Integral representations in the complex plane and iterated boundary value problems ⋮ On the biharmonic Steklov problem in weighted spaces ⋮ Generalized third boundary value problem for the biharmonic equation ⋮ 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 the Dirichlet-Riquier problem for biharmonic equations ⋮ On the solvability of the generalized Neumann problem for a higher-order elliptic equation in an infinite domain ⋮ A Neumann-type problem for the biharmonic equation ⋮ On the biharmonic problem with the Steklov-type and Farwig boundary conditions ⋮ Dirichlet-Neumann problem for the biharmonic equation in exterior domains ⋮ Biharmonic Navier and Neumann problems and their application in mechanical engineering ⋮ On the polyharmonic Neumann problem in weighted spaces ⋮ Biharmonic Dirichlet-Farwig problem in exterior domains ⋮ On the Steklov-type biharmonic problem in unbounded domains ⋮ Biharmonic problem with Dirichlet and Steklov-type boundary conditions in weighted spaces ⋮ Mixed Biharmonic Dirichlet-Neumann Problem in Exterior Domains

Cites Work

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• On the behavior at infinity of solutions of elliptic systems with a finite energy integral
• On solutions of a boundary value problem for a polyharmonic equation in unbounded domains
• On solutions of the Dirichlet problem for the polyharmonic equation in unbounded domains
• Interior estimates for elliptic systems of partial differential equations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

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