Asymptotic Behaviour of the Energy Integral of a Two-Parameter Homogenization Problem with Nonlinear Periodic Robin Boundary Conditions
DOI10.1017/S0013091518000858zbMath1439.35154OpenAlexW2925303093WikidataQ128206933 ScholiaQ128206933MaRDI QIDQ5236940
Paolo Musolino, Massimo Lanza de Cristoforis
Publication date: 16 October 2019
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0013091518000858
homogenizationenergy integralPoisson equationperiodically perforated domainreal analytic continuation in Banach spacesingularly perturbed domainnonlinear Robin problem
Boundary value problems for second-order elliptic equations (35J25) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Linear integral equations (45A05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- Partial differential equations. 4th ed
- Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole in Schauder spaces
- Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. I. Transl. from the German by Georg Heinig and Christian Posthoff
- Two-parameter homogenization for a nonlinear periodic Robin problem for the Poisson equation: a functional analytic approach
- Topological derivatives in shape optimization
- Green's kernels and meso-scale approximations in perforated domains
- Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density
- Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions
- INTERACTIONS BETWEEN MODERATELY CLOSE INCLUSIONS FOR THE LAPLACE EQUATION
- Effective conductivity of a composite material with non-ideal contact conditions
- Two‐parameter anisotropic homogenization for a Dirichlet problem for the Poisson equation in an unbounded periodically perforated domain. A functional analytic approach
- Stokes flow in a singularly perturbed exterior domain
- 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
- Improved algorithm for analytical solution of the heat conduction problem in doubly periodic 2D composite materials
- Selfsimilar Perturbation near a Corner: Matching Versus Multiscale Expansions for a Model Problem
- Series expansions for the solution of the Dirichlet problem in a planar domain with a small hole
- 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