On solutions of a boundary value problem for a polyharmonic equation in unbounded domains

DOI10.1134/S1061920814010099zbMath1314.31012MaRDI QIDQ2344144

H. A. Matevossian

Publication date: 12 May 2015

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

boundary value problemspolyharmonic functions

Mathematics Subject Classification ID

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

Related Items (16)

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 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 solutions of the Navier problem for a polyharmonic equation in unbounded domains ⋮ On the biharmonic problem with the Steklov-type and Farwig boundary conditions ⋮ Smoothness of solutions of the Dirichlet problem for the biharmonic equation in nonsmooth 2D domains ⋮ Smoothness of solutions of the Dirichlet problem for the biharmonic equation in nonsmooth 2D 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 ⋮ Biharmonic Dirichlet-Farwig problem in exterior domains ⋮ On the Steklov-type biharmonic problem in unbounded domains ⋮ On solutions of the Dirichlet problem for the polyharmonic equation in unbounded domains ⋮ Biharmonic problem with Dirichlet and Steklov-type boundary conditions in weighted spaces

Cites Work

• Unnamed Item
• On solutions of the exterior Dirichlet problem for the biharmonic equation with a finite weighted Dirichlet integral.
• On spectral theory of elliptic operators
• Uniqueness of solution of the Robin problem for systems in the theory of elasticity in a half-space
• ON THE DIMENSION OF THE SOLUTION SPACE OF ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS

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