Solution of a mixed boundary value problem for the biharmonic equation with finite weighted Dirichlet integral

DOI10.1134/S0012266115040060zbMath1319.31009WikidataQ115251504 ScholiaQ115251504MaRDI QIDQ2515253

H. A. Matevossian

Publication date: 31 July 2015

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

biharmonic equationmixed boundary value problem

Mathematics Subject Classification ID

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

Related Items (13)

On solutions of the mixed Dirichlet-Navier problem for the polyharmonic equation in exterior domains ⋮ On the biharmonic Steklov problem in weighted spaces ⋮ 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 biharmonic problem with the Steklov-type and Farwig boundary conditions ⋮ 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 ⋮ Biharmonic Dirichlet-Farwig problem in exterior domains ⋮ On the Steklov-type biharmonic problem in unbounded domains ⋮ Application of the least squares method in axisymmetric biharmonic problems ⋮ Biharmonic problem with Dirichlet and Steklov-type boundary conditions in weighted spaces ⋮ Mixed Biharmonic Dirichlet-Neumann Problem in Exterior Domains

Cites Work

• On the behavior at infinity of solutions of elliptic systems with a finite energy integral
• On solutions of the exterior Dirichlet problem for the biharmonic equation with a finite weighted Dirichlet integral.
• Estimates for solutions of the Dirichlet problem for the biharmonic equation in a neighbourhood of an irregular boundary point and in a neighbourhood of infinity. Saint-Venant's principle
• On solutions of mixed boundary-value problems for the elasticity system in unbounded domains
• ON THE DIMENSION OF THE SOLUTION SPACE OF ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS
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