Homogenization for the \(p\)-Laplace operator and nonlinear Robin boundary conditions in perforated media along \((n - 1)\)-dimensional manifolds
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Publication:403913
DOI10.1134/S1064562414010049zbMath1305.35136OpenAlexW2048227990MaRDI QIDQ403913
Publication date: 29 August 2014
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562414010049
Homogenization in equilibrium problems of solid mechanics (74Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (8)
Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case ⋮ On \(p\)-Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media ⋮ Homogenization for the \(p\)-Laplace operator in perforated media with nonlinear restrictions on the boundary of the perforations: A critical case ⋮ Homogenization for the \(p\)-Laplacian in an \(n\)-dimensional domain perforated by very thin cavities with a nonlinear boundary condition on their boundary in the case \(p\) = \(n\) ⋮ Homogenization of variational inequalities for the \(p\)-Laplace operator in perforated media along manifolds ⋮ Unilateral problems for thep-Laplace operator in perforated media involving large parameters ⋮ On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media ⋮ Homogenization of a parabolic equation for \(p\)-Laplace operator in a domain perforated along \((n-1)\)-dimensional manifold with dynamical boundary condition specified on perforations boundary: critical case
Cites Work
- Homogenization limit for the boundary value problem with the \(p\)-Laplace operator and a nonlinear third boundary condition on the boundary of the holes in a perforated domain
- Averaging of boundary-value problem in domain perforated along \((n - 1)\)-dimensional manifold with nonlinear third type boundary conditions on the boundary of cavities
- On the homogenization of some nonlinear problems in perforated domains
- Decay rate estimates for the quasi-linear Timoshenko system with nonlinear control and damping terms
- On homogenization of nonlinear Robin type boundary conditions for cavities along manifolds and associated spectral problems
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