The best Sobolev trace constant in a domain with oscillating boundary

DOI10.1016/j.na.2006.07.005zbMath1114.35010OpenAlexW1972358798MaRDI QIDQ884502

Julio D. Rossi, Rafael Orive-Illera, Julián Fernández Bonder

Publication date: 6 June 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.07.005

zbMATH Keywords

Steklov eigenvaluesSobolev trace embedding

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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