Trace Hardy-Sobolev-Maz'ya inequalities for the half fractional Laplacian

DOI10.3934/cpaa.2015.14.373zbMath1316.35290arXiv1409.4519OpenAlexW2962829522MaRDI QIDQ2018435

Achilles Tertikas, Stathis Filippas, Luisa Moschini

Publication date: 14 April 2015

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4519

zbMATH Keywords

critical exponentHardy inequalitytrace inequalitybest constantfractional Laplacianfractional Sobolev inequality

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Inequalities involving derivatives and differential and integral operators (26D10) Pseudodifferential operators (47G30) Fractional partial differential equations (35R11)

Related Items

Sharp trace Hardy-Sobolev inequalities and fractional Hardy-Sobolev inequalities, Weighted Finsler trace Hardy inequality on half spaces, Improving interpolated Hardy and trace Hardy inequalities on bounded domains, Finsler Hardy-Kato's inequality, Hardy-Sobolev-Maz'ya inequalities for polyharmonic operators, On extension problem, trace Hardy and Hardy's inequalities for some fractional Laplacians

Cites Work

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