A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach

DOI10.1002/mma.2788zbMath1284.35424arXiv1306.6177OpenAlexW2092391908MaRDI QIDQ2874190

Matteo Dalla Riva, Paolo Musolino

Publication date: 29 January 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6177

zbMATH Keywords

integral representationsintegral operatorsperiodically perforated domainintegral equation methodsreal analytic continuation in Banach spacesingularly perturbed domainlinearized elastostaticsnonlinear boundary value problems for linear elliptic equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Classical linear elasticity (74B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Analytic dependence of a periodic analog of a fundamental solution upon the periodicity parameters ⋮ A DEGENERATING ROBIN-TYPE TRACTION PROBLEM IN A PERIODIC DOMAIN

Cites Work

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• A real analyticity result for a nonlinear integral operator
• Weakly singular and microscopically hypersingular load perturbation for a nonlinear traction boundary value problem: a functional analytic approach
• Real analytic families of harmonic functions in a domain with a small hole
• Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole in Schauder spaces
• Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density
• Mesoscale Asymptotic Approximations to Solutions of Mixed Boundary Value Problems in Perforated Domains
• A singularly perturbed Dirichlet problem for the Laplace operator in a periodically perforated domain. A functional analytic approach
• Effective conductivity of unidirectional cylinders with interfacial resistance
• Asymptotic behaviour of the solutions of a non-linear transmission problem for the Laplace operator in a domain with a small hole. A functional analytic approach
• A singularly perturbed nonlinear traction boundary value problem for linearized elastostatics. A functional analytic approach
• Effective conductivity of a composite material with non-ideal contact conditions
• Stokes flow in a singularly perturbed exterior domain
• A Singularly Perturbed Dirichlet Problem for the Poisson Equation in a Periodically Perforated Domain. A Functional Analytic Approach
• A Singularly Perturbed Nonideal Transmission Problem and Application to the Effective Conductivity of a Periodic Composite
• A singularly perturbed nonlinear Robin problem in a periodically perforated domain: a functional analytic approach†
• Microscopically weakly singularly perturbed loads for a nonlinear traction boundary value problem: a functional analytic approach
• Asymptotic behavior of the solutions of a nonlinear Robin problem for the Laplace operator in a domain with a small hole: a functional analytic approach
• Asymptotic behavior of the solutions of the Dirichlet problem for the Laplace operator in a domain with a small hole. A functional analytic approach
• Effective parameters of elastic composites
• Asymptotic treatment of perforated domains without homogenization

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