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

DOI10.1080/17476933.2011.638716zbMath1270.31001OpenAlexW2778581860MaRDI QIDQ4929154

Massimo Lanza de Cristoforis, Paolo Musolino

Publication date: 13 June 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: http://www.tandfonline.com/toc/gcov20/current

zbMATH Keywords

Laplace operatorsingularly perturbed domainperiodic nonlinear Robin boundary-value problemreal-analytic continuation in Banach space

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (10)

A singularly perturbed Neumann problem for the Poisson equation in a periodically perforated domain. A functional analytic approach ⋮ Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach ⋮ The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation ⋮ A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach ⋮ A Singularly Perturbed Dirichlet Problem for the Poisson Equation in a Periodically Perforated Domain. A Functional Analytic Approach ⋮ Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains ⋮ A tribute to Massimo Lanza de Cristoforis ⋮ Asymptotic Behaviour of the Energy Integral of a Two-Parameter Homogenization Problem with Nonlinear Periodic Robin Boundary Conditions ⋮ Solvability of nonlinear problem for some second-order nonstrongly elliptic system ⋮ A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach

Cites Work

• Non-homogeneous media and vibration theory
• 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
• Strong Localized Perturbations of Eigenvalue Problems
• Effective conductivity of unidirectional cylinders with interfacial resistance
• 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
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• Elliptic Partial Differential Equations of Second Order
• Source-neutral Green'functions for periodic problems in electrostatics, and their equivalents in electromagnetism
• Longitudinal Permeability of Spatially Periodic Rectangular Arrays of Circular Cylinders I. A Single Cylinder in the Unit Cell
• 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 treatment of perforated domains without homogenization
• Generalized Clausius-Mossotti formula for random composite with circular fibers.

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