On the biharmonic problem with the Steklov-type and Farwig boundary conditions

DOI10.1134/S1995080220100133zbMath1454.35108OpenAlexW3110003555MaRDI QIDQ2214338

Publication date: 8 December 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220100133

zbMATH Keywords

biharmonic equation mixed boundary condition Farwig condition Steklov-type condition

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (3)

Steklov-Farwig biharmonic problem in exterior domains ⋮ Biharmonic Navier and Neumann problems and their application in mechanical engineering ⋮ Exterior biharmonic problem with the mixed Steklov and Steklov-type boundary conditions

Cites Work

On solutions of the Neumann problem for the biharmonic equation in unbounded domains
On solutions of a boundary value problem for the biharmonic equation
On positivity for the biharmonic operator under Steklov boundary conditions
Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
On the behavior at infinity of solutions of elliptic systems with a finite energy integral
A note on the reflection principle for the biharmonic equation and the Stokes system
On the Steklov-type biharmonic problem in unbounded domains
On solutions of the exterior Dirichlet problem for the biharmonic equation with a finite weighted Dirichlet integral.
On spectral theory of elliptic operators
On solutions of a boundary value problem for a polyharmonic equation in unbounded domains
On the biharmonic Steklov problem in weighted spaces
On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains
Solution of a mixed boundary value problem for the biharmonic equation with finite weighted Dirichlet integral
Inequalities for membrane and Stekloff eigenvalues
On solutions of the mixed Dirichlet-Navier problem for the polyharmonic equation in exterior domains
Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
Elliptic Partial Differential Equations of Second Order
On the polyharmonic Neumann problem in weighted spaces
On solutions of mixed boundary-value problems for the elasticity system in unbounded domains
Solutions of exterior boundary-value problems for the elasticity system in weighted spaces
Some Isoperimetric Inequalities for Harmonic Functions
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item

This page was built for publication: On the biharmonic problem with the Steklov-type and Farwig boundary conditions