Sobolev inequalities with jointly concave weights on convex cones

DOI10.1112/PLMS.12384zbMath1469.35007arXiv2003.12157OpenAlexW3081143005MaRDI QIDQ4992042

Zoltán M. Balogh, Cristian E. Gutiérrez, Alexandru Kristály

Publication date: 4 June 2021

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

Full work available at URL: https://arxiv.org/abs/2003.12157

zbMATH Keywords

convex conesSobolev inequalitiesoptimal mass transporthomogeneous weights

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) 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)

Related Items (3)

\(L_p\) centroid bodies with respect to weights \(|x|^{\ell}\) ⋮ The ε-ε property and the boundedness of isoperimetric sets with different monomial weights ⋮ An overview on extremals and critical points of the Sobolev inequality in convex cones

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