The sharp affine \(L_2\) Sobolev trace inequality and affine energy in the fractional Sobolev spaces

DOI10.1016/j.aam.2020.102039zbMath1455.46037OpenAlexW3016904968MaRDI QIDQ2182608

Nguyen Van Hoang

Publication date: 26 May 2020

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2020.102039

zbMATH Keywords

fractional Sobolev spacesaffine fractional energyaffine fractional Pólya-Szegő principlesharp affine \(L_2\) Sobolev trace inequalitysharp affine fractional \(L_2\) Sobolev inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities ⋮ Towards existence theorems to affine \(p\)-Laplace equations via variational approach

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