Best constant in critical Sobolev inequalities of second-order in the presence of symmetries

DOI10.1016/j.na.2009.07.010zbMath1368.58018OpenAlexW2005971993MaRDI QIDQ1049030

Nicolas Saintier

Publication date: 8 January 2010

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.2009.07.010

zbMATH Keywords

best constantbi-Laplacianinvariance under isometriesPaneitz-type operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Existence of solution to a critical trace equation with variable exponent ⋮ Asymptotic in Sobolev spaces for symmetric Paneitz-type equations on Riemannian manifolds

Cites Work

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• Dual variational methods in critical point theory and applications
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• Multiplicity for critical and overcritical equations

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