Homogenization of a semilinear variational inequality in a thick multi-level junction

DOI10.1186/s13660-016-1051-yzbMath1333.35004OpenAlexW2314646945WikidataQ59437436 ScholiaQ59437436MaRDI QIDQ265687

Iulia A. Nakvasiuk, Taras A. Mel'nyk

Publication date: 4 April 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1051-y

zbMATH Keywords

variational inequalityhomogenizationjunction

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Junctions (74K30)

Related Items (4)

Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary ⋮ Homogenization of an evolution problem with \( L\log L\) data in a domain with oscillating boundary ⋮ Homogenization of the brush problem with a source term in \(L^{1}\) ⋮ Homogenization of some degenerate pseudoparabolic variational inequalities

Cites Work

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• Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure
• Homogenization in open sets with holes
• Homogenization of a quasilinear parabolic problem with different alternating nonlinear Fourier boundary conditions in a two-level thick junction of the type 3:2:2
• Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1
• Homogenization of the Signorini boundary-value problem in a thick junction and boundary integral equations for the homogenized problem
• ASYMPTOTIC APPROXIMATION FOR THE SOLUTION TO THE ROBIN PROBLEM IN A THICK MULTI-LEVEL JUNCTION
• Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1
• Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity
• Eigenvibrations of thick cascade junctions with `very heavy' concentrated masses

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