Biharmonic problem with Dirichlet and Steklov-type boundary conditions in weighted spaces
type: Item
instance of: scholarly article
title: Biharmonic problem with Dirichlet and Steklov-type boundary conditions in weighted spaces
zbMATH Open document ID: 1472.35132
DOI: 10.1134/S0965542521060087
author: H. A. Matevossian
published in: Computational Mathematics and Mathematical Physics
publication date: 2021-08-04T00:00:00Z
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 31B30
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7378030
zbMATH Keywords: biharmonic operator
zbMATH Keywords: Dirichlet and Steklov-type boundary conditions
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
cites work: An isoperimetric inequality for eigenvalues of the Stekloff problem
cites work: Inequalities for membrane and Stekloff eigenvalues
cites work: Some Isoperimetric Inequalities for Harmonic Functions
cites work: Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
cites work: On positivity for the biharmonic operator under Steklov boundary conditions
cites work: Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
cites work: Q4008723
cites work: ON THE DIMENSION OF THE SOLUTION SPACE OF ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS
cites work: THE SOLUTION OF THE FIRST BOUNDARY-VALUE PROBLEM FOR SELF-ADJOINT ELLIPTIC EQUATIONS IN THE CASE OF AN UNBOUNDED REGION
cites work: 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
cites work: Q3948027
cites work: On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation
cites work: Riquier-Neumann problem for the polyharmonic equation in a ball
cites work: The Green function of the Dirichlet problem for the biharmonic equation in a ball
cites work: Class of Neumann-type problems for the polyharmonic equation in a ball
cites work: On solutions of the exterior Dirichlet problem for the biharmonic equation with a finite weighted Dirichlet integral.
cites work: Solutions of exterior boundary-value problems for the elasticity system in weighted spaces
cites work: On solutions of mixed boundary-value problems for the elasticity system in unbounded domains
cites work: On solutions of a boundary value problem for a polyharmonic equation in unbounded domains
cites work: Solution of a mixed boundary value problem for the biharmonic equation with finite weighted Dirichlet integral
cites work: On solutions of the Neumann problem for the biharmonic equation in unbounded domains
cites work: On solutions of the mixed Dirichlet-Navier problem for the polyharmonic equation in exterior domains
cites work: On solutions of a boundary value problem for the biharmonic equation
cites work: On the biharmonic Steklov problem in weighted spaces
cites work: On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains
cites work: On the Steklov-type biharmonic problem in unbounded domains
cites work: On the polyharmonic Neumann problem in weighted spaces
cites work: On the mixed Neumann-Robin problem for the elasticity system in exterior domains
cites work: Q5735444
cites work: On the behavior at infinity of solutions of elliptic systems with a finite energy integral
cites work: Q5187597
full work available at URL: s0965542521060087
OpenAlex ID: W3186047705
description: scientific article; zbMATH DE number 7378030