Sharp Sobolev inequalities via projection averages

DOI10.1007/s12220-020-00544-6zbMath1483.46030arXiv1911.13075OpenAlexW3094126918MaRDI QIDQ2050546

Philipp Kniefacz, Franz E. Schuster

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.13075

zbMATH Keywords

isoperimetric inequalitiesconvex bodiesSobolev inequalitiesaffine invariant inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)

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Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities, On the \(L^p\) Aleksandrov problem for negative \(p\), Gradual improvement of the \(L_p\) moment-entropy inequality, Towards existence theorems to affine \(p\)-Laplace equations via variational approach, Affine vs. Euclidean isoperimetric inequalities

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