Hardy and Rellich inequalities for submanifolds in Hadamard spaces

DOI10.1016/j.jde.2017.07.003zbMath1409.53050arXiv1611.04656OpenAlexW2564894293MaRDI QIDQ1785941

Feliciano Vitorio, Heudson Mirandola, Márcio Batista

Publication date: 2 October 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04656

zbMATH Keywords

Hadamard spaceHardy inequalityRellich inequalityfirst Laplacian eigenvalue

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (6)

Cohomology vanishing theorems for free boundary submanifolds ⋮ Gap phenomena for constant mean curvature surfaces ⋮ Vanishing theorems for the cohomology groups of free boundary submanifolds ⋮ A note about a Caffarelli-Kohn-Nirenberg type inequality for Euclidean submanifolds ⋮ Uniqueness results for free boundary minimal hypersurfaces in conformally Euclidean balls and annular domains ⋮ Universal Hardy–Sobolev inequalities on hypersurfaces of Euclidean space

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