A nonlinear problem for the Laplace equation with a degenerating Robin condition
DOI10.1002/mma.5072zbMath1400.35079OpenAlexW2803585398WikidataQ129794377 ScholiaQ129794377MaRDI QIDQ4581138
Paolo Musolino, Gennady S. Mishuris
Publication date: 23 August 2018
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.5072
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)
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Cites Work
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- Weakly singular and microscopically hypersingular load perturbation for a nonlinear traction boundary value problem: a functional analytic approach
- Singular perturbations used to solve the equations of thermoelasticity in a cross-section of a rotating cylinder
- 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
- Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
- Existence and uniqueness results for a class of singular elliptic problems in perforated domains
- Green's kernels and meso-scale approximations in perforated domains
- Zur Struktur der Lösungsmenge des Plateauproblems
- Existence results for a nonlinear transmission problem
- Asymptotic expansion techniques for singularly perturbed boundary integral equations
- Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density
- A mixed problem for the Laplace operator in a domain with moderately close holes
- The robin problem for the helmholtz equation as a singular perturbation problem
- On the integral equation method for the plane mixed boundary value problem of the Laplacian
- Generalized impedance boundary conditions for the maxwell equations as singular perturbations problems
- A Singularly mixed boundary value problem
- Homogenization in perforated domains: a Stokes grill and an adsorption process
- Microscopically weakly singularly perturbed loads for a nonlinear traction boundary value problem: a functional analytic approach
- 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
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