Models of elastic joint of a plate with rods based on Sobolev point conditions and self-adjoint extensions of differential operators

DOI10.1134/S0012266121050116zbMath1467.74060OpenAlexW3167158879MaRDI QIDQ2034737

Sergueï A. Nazarov

Publication date: 23 June 2021

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

Full work available at URL: https://doi.org/10.1134/s0012266121050116

zbMATH Keywords

Sobolev spaceexistencefourth-order differential operatorKirchhoff modelnonlinear transmission condition

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74) Junctions (74K30) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modeling of a singularly perturbed spectral problem by means of self-adjoint extensions of the operators of the limit problems
• Zero radius interaction for the biharmonic and polyharmonic equations
• Elliptic problems in domains with piecewise smooth boundaries
• Mathematical models for suspension bridges. Nonlinear structural instability
• Elliptic boundary value problems on hybrid domains
• Asymptotic expansions of solutions of ordinary differential equations in Hilbert space
• SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS
• The theory of extensions and explicitly-soluble models
• The Uniform Continuity of Functions in Sobolev Spaces
• [Russian Text Ignored.]
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• SELFADJOINT EXTENSIONS OF THE DIRICHLET PROBLEM OPERATOR IN WEIGHTED FUNCTION SPACES