Spectral analysis of a nonlinear boundary-value problem in a perforated domain. Applications to the Friedrichs inequality in L_p

DOI10.7153/dea-08-25zbMath1346.35142OpenAlexW2515268687MaRDI QIDQ2823232

Yu. O. Koroleva

Publication date: 6 October 2016

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-08-25

zbMATH Keywords

homogenization theorynonlinear spectral analysisboundary-value problem with a small parameter

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Cites Work

• On the convergence of solutions and eigenelements of a boundary value problem in a domain perforated along the boundary
• On the Friedrichs inequality in a domain perforated aperiodically along the boundary. Homogenization procedure. Asymptotics for parabolic problems
• On a Friedrichs-type inequality in a three-dimensional domain aperiodically perforated along a part of the boundary
• A noncompact variational problem in the theory of riesz potentials. II
• Asymptotic expansions of eigenvalues and eigenfunctions of an elliptic operator in a domain with many “light” concentrated masses situated on the boundary. Two-dimensional case
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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