Extremal maps in best constants vector theory. I: Duality and compactness

DOI10.1016/j.jfa.2011.09.013zbMath1251.46013arXiv1011.1037OpenAlexW2963181956MaRDI QIDQ652439

Marcos Montenegro, Ezequiel R. Barbosa

Publication date: 14 December 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1037

zbMATH Keywords

sharp Sobolev inequalitiescompactnessextremal mapsDe Giorgi-Nash-Moser estimates

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) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

The Brezis-Nirenberg problem for systems involving divergence-form operators ⋮ Qualitative properties for solutions to conformally invariant fourth order critical systems ⋮ Factorization into \(k\)-bubbles for Palais-Smale maps to potential type energy functionals

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