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Junctions of singularly degenerating domains with different limit dimensions. II

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
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[Russian Text Ignored]
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Non-Homogeneous Media and Vibration Theory
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Partial Differential Operators
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The Boundary Value Problems of Mathematical Physics
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Multiple Integrals in the Calculus of Variations
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Linear Partial Differential Operators
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Foundations of Modern Potential Theory
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Homogenization of Differential Operators and Integral Functionals
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Homogenisation: Averaging Processes in Periodic Media: Mathematical Problems in the Mechanics of Composite Materials
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Boundary Value Problems for Operator Differential Equations
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Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory
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On the asymptotic behaviour at infinity of solutions in linear elasticity
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Asymptotic expansions of solutions of ordinary differential equations in Hilbert space
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Approximation of a two dimensional problem of junctions
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Extension theory for symmetric operators and boundary value problems for differential equations
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Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions
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Edge effect in the bending of a thin three-dimensional plate
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Numerical study of a junction between a three-dimensional elastic structure and a plate
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ELLIPTIC BOUNDARY VALUE PROBLEMS WITH PERIODIC COEFFICIENTS IN A CYLINDER
inferredcites →https://doi.org/10.1070/rm1964v019n03abeh001149openalex-snapshot
ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
inferredcites →https://doi.org/10.1070/rm1981v036n05abeh003049openalex-snapshot
On the asymptotic behaviour of solutions of the Dirichlet problem in a domain with a thin tube excluded
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Boundary-value problems for partial differential equations in non-smooth domains
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Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
inferredcites →https://doi.org/10.1070/sm1969v007n03abeh001099openalex-snapshot
A THEOREM ON HOMEOMORPHISMS FOR ELLIPTIC SYSTEMS AND ITS APPLICATIONS
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ASYMPTOTICS OF THE SOLUTION OF THE DIRICHLET PROBLEM FOR THE SYSTEM OF ELASTICITY THEORY IN THE EXTERIOR OF A THIN BODY OF REVOLUTION
inferredcites →https://doi.org/10.1090/chel/374openalex-snapshot
Asymptotic Analysis for Periodic Structures
inferredcites →https://doi.org/10.1090/trans2/126/07openalex-snapshot
The Dirichlet problem for the Laplace operator in the exterior of a thin body of revolution
inferredcites →https://doi.org/10.1111/j.1559-3584.1962.tb04855.xopenalex-snapshot
THEORY OF ELASTIC THIN SHELLS
inferredcites →https://doi.org/10.1112/blms/26.2.198openalex-snapshot
MATCHING OF ASYMPTOTIC EXPANSIONS OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS
inferredcites →https://doi.org/10.1112/blms/6.2.241openalex-snapshot
FOUNDATIONS OF MODERN POTENTIAL THEORY
inferredcites →https://doi.org/10.1115/1.3424588openalex-snapshot
Asymptotic Analysis of Periodic Structures
inferredcites →https://doi.org/10.1137/0138007openalex-snapshot
Electromagnetic Scattering by a Slender Body of Revolution: Axially Incident Plane Wave
inferredcites →https://doi.org/10.1515/9781400882663openalex-snapshot
Isoperimetric Inequalities in Mathematical Physics. (AM-27)
inferredcites →https://doi.org/10.1515/9783110848915openalex-snapshot
Elliptic Problems in Domains with Piecewise Smooth Boundaries
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Computation of Singular Solutions in Elliptic Problems and Elasticity.
inferredcites →https://doi.org/10.24033/asens.1533openalex-snapshot
Spectre du laplacien et écrasement d'anses
inferredcites →https://doi.org/10.3792/pjaa.56.306openalex-snapshot
Singular Hadamard's variation of domains and eigenvalues of the Laplacian
inferredcites →https://doi.org/10.3792/pjaa.56.351openalex-snapshot
On certain densities of sets of primes
inferredcites →https://doi.org/10.3792/pjaa.63.285openalex-snapshot
Characterization of the eigenfunctions in the singularly perturbed domain

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Averaging in Cascade Junctions with a “Wide” Transmission Domain
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Homogenization of Boundary Value Problems in Two-Level Thick Junctions Consisting of Thin Disks with Rounded or Sharp Edges
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Discrete Spectrum of Cross-Shaped Quantum Waveguides
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Plane Scalar Analog of Linear Degenerate Hydrodynamic Problem with Nonperiodic Microstructure of Free Surface
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Asymptotic Approximations of the Solution to a Boundary Value Problem in a Thin Aneurysm Type Domain
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Vibrations of a Fluid Containing a Wide Spaced Net with Floats Under Its Free Surface
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Waves in a Plane Rectangular Lattice of Thin Elastic Waveguides
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