A note on the Sobolev trace inequality

DOI10.1090/proc/15751zbMath1492.46033OpenAlexW4234834241MaRDI QIDQ5027168

Pak Tung Ho

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15751

zbMATH Keywords

Sobolev inequalitytrace inequalitybest constant

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

• Unnamed Item
• The asymptotic behavior of Palais-Smale sequences on manifolds with boundary
• A compactness theorem for scalar-flat metrics on manifolds with boundary
• Sobolev inequalities with remainder terms
• A note on the Sobolev inequality
• Best constant in Sobolev inequality
• A generalization of the asymptotic behavior of Palais-Smale sequences on a manifold with boundary
• 5 Spectral geometry of the Steklov problem
• Steklov-type eigenvalues associated with best Sobolev trace constants: domain perturbation and overdetermined systems

This page was built for publication: A note on the Sobolev trace inequality