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Asymptotics and Uniqueness of Solutions of the Elasticity System with the Mixed Dirichlet–Robin Boundary Conditions

https://doi.org/10.3390/math8122241
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What this work says

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

inferredcites →https://doi.org/10.1002/cpa.3160170104openalex-snapshot
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
inferredcites →https://doi.org/10.1002/cpa.3160170404openalex-snapshot
Systems of partial differential equations in a half‐space
inferredcites →https://doi.org/10.1007/978-3-540-68905-8openalex-snapshot
Astronomical Optics and Elasticity Theory: Active Optics Methods
inferredcites →https://doi.org/10.1007/978-3-540-69952-1openalex-snapshot
Multiple Integrals in the Calculus of Variations
inferredcites →https://doi.org/10.1007/978-3-642-65101-4openalex-snapshot
Uniqueness Theorems in Linear Elasticity
inferredcites →https://doi.org/10.1007/978-3-662-39776-3_3openalex-snapshot
Existence Theorems in Elasticity
inferredcites →https://doi.org/10.1007/bf00251392openalex-snapshot
On the behavior at infinity of solutions of elliptic systems with a finite energy integral
inferredcites →https://doi.org/10.1007/s00205-008-0180-yopenalex-snapshot
Well-posedness and Regularity for the Elasticity Equation with Mixed Boundary Conditions on Polyhedral Domains and Domains with Cracks
inferredcites →https://doi.org/10.1007/s10659-013-9466-xopenalex-snapshot
New Asymptotically Sharp Korn and Korn-Like Inequalities in Thin Domains
inferredcites →https://doi.org/10.1070/im2003v067n05abeh000451openalex-snapshot
On solutions of mixed boundary-value problems for the elasticity system in unbounded domains
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/rm1988v043n05abeh001945openalex-snapshot
Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
inferredcites →https://doi.org/10.1070/rm1991v046n04abeh002817openalex-snapshot
The mixed boundary-value problem for a system of elasticity theory in unbounded domains
inferredcites →https://doi.org/10.1070/rm1993v048n06abeh001101openalex-snapshot
On the uniqueness of solutions of the first boundary-value problem in elasticity theory for unbounded domains
inferredcites →https://doi.org/10.1070/rm1994v049n04abeh002404openalex-snapshot
Uniqueness of solutions of boundary-value problems for a system of elasticity theory in a half-space
inferredcites →https://doi.org/10.1070/sm2001v192n12abeh000615openalex-snapshot
Solutions of exterior boundary-value problems for the elasticity system in weighted spaces
inferredcites →https://doi.org/10.1080/17476933.2017.1409740openalex-snapshot
On the polyharmonic Neumann problem in weighted spaces
inferredcites →https://doi.org/10.1090/proc/14533openalex-snapshot
Weighted asymptotic Korn and interpolation Korn inequalities with singular weights
inferredcites →https://doi.org/10.1134/s0001434615110334openalex-snapshot
On solutions of the Neumann problem for the biharmonic equation in unbounded domains
inferredcites →https://doi.org/10.1134/s0012266110090041openalex-snapshot
Differential equations with degeneration and resurgent analysis
inferredcites →https://doi.org/10.1134/s0012266115040060openalex-snapshot
Solution of a mixed boundary value problem for the biharmonic equation with finite weighted Dirichlet integral
inferredcites →https://doi.org/10.1134/s0012266116010055openalex-snapshot
Repeated quantization method and its applications to the construction of asymptotics of solutions of equations with degeneration
inferredcites →https://doi.org/10.1134/s0012266118050087openalex-snapshot
Riquier–Neumann Problem for the Polyharmonic Equation in a Ball
inferredcites →https://doi.org/10.1134/s0965542519010111openalex-snapshot
The Green Function of the Dirichlet Problem for the Biharmonic Equation in a Ball
inferredcites →https://doi.org/10.1134/s096554251912011xopenalex-snapshot
Class of Neumann-Type Problems for the Polyharmonic Equation in a Ball
inferredcites →https://doi.org/10.1134/s106192081601012xopenalex-snapshot
On solutions of the mixed Dirichlet–Navier problem for the polyharmonic equation in exterior domains
inferredcites →https://doi.org/10.1134/s1061920817010125openalex-snapshot
On the biharmonic Steklov problem in weighted spaces
inferredcites →https://doi.org/10.1134/s1061920818020115openalex-snapshot
On the Steklov-Type Biharmonic Problem in Unbounded Domains
inferredcites →https://doi.org/10.1134/s1061920820020144openalex-snapshot
On the Mixed Neumann–Robin Problem for the Elasticity System in Exterior Domains
inferredcites →https://doi.org/10.1134/s1064562414030302openalex-snapshot
Asymptotics of solutions of the laplace equation on a manifold with a cuspidal singularity
inferredcites →https://doi.org/10.1134/s2070046617020054openalex-snapshot
On solutions of the mixed Dirichlet-Steklov problem for the biharmonic equation in exterior domains
inferredcites →https://doi.org/10.1137/130948999openalex-snapshot
Exact Scaling Exponents in Korn and Korn-Type Inequalities for Cylindrical Shells
inferredcites →https://doi.org/10.1137/18m1167474openalex-snapshot
On the Korn Interpolation and Second Inequalities in Thin Domains
inferredcites →https://doi.org/10.1137/19m1286657openalex-snapshot
The Sharp $L^p$ Korn Interpolation and Second Inequalities in Thin Domains
inferredcites →https://doi.org/10.2307/1969180openalex-snapshot
On the Boundary-Value Problems of the Theory of Elasticity and Korn's Inequality
inferredcites →https://doi.org/10.3390/mca24020058openalex-snapshot
Mixed Boundary Value Problems for the Elasticity System in Exterior Domains
inferredcites →https://doi.org/10.5802/afst.251openalex-snapshot
Solution générale du problème d'équilibre dans la théorie de l'élasticité, dans le cas ou les efforts sont donnés à la surface

What points at this work

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

inferred← citeshttps://doi.org/10.1080/17476933.2024.2373292openalex-snapshot
On the generalized Farwig problem for a polyharmonic equation
inferred← citeshttps://doi.org/10.1080/17476933.2025.2504630openalex-snapshot
Biharmonic Steklov problem in half-space
inferred← citeshttps://doi.org/10.1134/s1061920823040209openalex-snapshot
On Solutions of the Navier Problem for a Polyharmonic Equation in Unbounded Domains
inferred← citeshttps://doi.org/10.1134/s1995080221080199openalex-snapshot
Biharmonic Navier and Neumann Problems and Their Application in Mechanical Engineering
inferred← citeshttps://doi.org/10.1134/s1995080221080205openalex-snapshot
Exterior Biharmonic Problem with the Mixed Steklov and Steklov-Type Boundary Conditions
inferred← citeshttps://doi.org/10.1134/s1995080222030143openalex-snapshot
On the Asymptotics of Solutions of a Boundary Value Problem for the Hyperbolic Equation (at $$\boldsymbol{t\to\infty}$$)
inferred← citeshttps://doi.org/10.1134/s1995080222140256openalex-snapshot
Mixed Biharmonic Problem with the Steklov-type and Neumann Boundary Conditions in Unbounded Domains
inferred← citeshttps://doi.org/10.1134/s1995080223060379openalex-snapshot
Steklov–Farwig Biharmonic Problem in Exterior Domains
inferred← citeshttps://doi.org/10.1134/s1995080223120247openalex-snapshot
Steklov–Neumann Biharmonic Problem in Weighted Spaces
inferred← citeshttps://doi.org/10.1134/s1995080224602479openalex-snapshot
Solution of the Biharmonic Problem with the Steklov-type and Farwig Boundary Conditions
inferred← citeshttps://doi.org/10.1134/s1995080224604399openalex-snapshot
Steklov Biharmonic Problem with Weighted Dirichlet Integral
inferred← citeshttps://doi.org/10.1134/s1995080224604405openalex-snapshot
On the Analytical Solution of PDEs in Bounded Domains and Applications to Inhomogeneous Tapered Elastic Solids
inferred← citeshttps://doi.org/10.1134/s1995080224607677openalex-snapshot
Biharmonic Problem with Steklov-type Conditions on the Boundary of the Domain
inferred← citeshttps://doi.org/10.1134/s199508022560832xopenalex-snapshot
Farwig Problem for the Biharmonic Equation in a Half-Space
inferred← citeshttps://doi.org/10.1134/s1995080225609269openalex-snapshot
On Analytical Solutions of the 3D Inverse Problem of Newtonian Dynamics
inferred← citeshttps://doi.org/10.1134/s1995080225609270openalex-snapshot
New Solutions of the 3D Inverse Problem of Newtonian Dynamics
inferred← citeshttps://doi.org/10.1134/s1995080225610045openalex-snapshot
Analytical Solutions of PDEs in Bounded Inhomogeneous Domains with Applications to Structural Mechanics
inferred← citeshttps://doi.org/10.3390/math10020180openalex-snapshot
Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels
inferred← citeshttps://doi.org/10.3390/math10142465openalex-snapshot
Uniform Asymptotics of Solutions of Second-Order Differential Equations with Meromorphic Coefficients in a Neighborhood of Singular Points and Their Applications
inferred← citeshttps://doi.org/10.3390/math11234723openalex-snapshot
Analytical Solutions of Partial Differential Equations Modeling the Mechanical Behavior of Non-Prismatic Slender Continua
inferred← citeshttps://doi.org/10.3934/math.2022821openalex-snapshot
On the linearized system of elasticity in the half-space
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