The sharp affine \(L^2\) Sobolev trace inequality and variants

DOI10.1007/s00208-017-1548-9zbMath1390.46036arXiv1512.04621OpenAlexW2963003959MaRDI QIDQ681625

Marcos Montenegro, Carlos Hugo Jiménez, Julian Haddad, Pablo L. De Nápoli

Publication date: 12 February 2018

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04621

zbMATH Keywords

affine Sobolev trace inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities and extremum problems involving convexity in convex geometry (52A40) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (14)

Sharp affine Sobolev type inequalities via the \(L_{p}\) Busemann-Petty centroid inequality ⋮ Fractional Besov trace/extension-type inequalities via the Caffarelli-Silvestre extension ⋮ Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities ⋮ The sharp affine \(L_2\) Sobolev trace inequality and affine energy in the fractional Sobolev spaces ⋮ The affine convex Lorentz-Sobolev inequalities ⋮ Fixed point theorem: variants, affine context and some consequences ⋮ Spherical centroid bodies ⋮ Towards existence theorems to affine \(p\)-Laplace equations via variational approach ⋮ Sharp Gagliardo-Nirenberg trace inequalities via mass transportation method and their affine versions ⋮ Affine Poisson \& non-Poisson trace principles for \(\dot{H}^{- 1 < - \alpha \leq - \frac{ 1}{ 2}}(\mathbb{R}^{n - 1 \geq 2})\) ⋮ Asymmetric Blaschke-Santaló functional inequalities ⋮ From affine Poincaré inequalities to affine spectral inequalities ⋮ Sharp Sobolev inequalities via projection averages ⋮ Sharp affine Trudinger–Moser inequalities: A new argument

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