Quantitative Rellich inequalities on Finsler—Hadamard manifolds

DOI10.1142/S0219199716500206zbMath1361.53037arXiv1312.6699OpenAlexW2274816405MaRDI QIDQ2828659

Alexandru Kristály, Dušan D. Repovš

Publication date: 26 October 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6699

zbMATH Keywords

curvatureRellich inequalityFinsler-Laplace operatorFinsler-Hadamard manifold

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) PDEs with measure (35R06)

Related Items (11)

Hardy-Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs ⋮ Multipolar Hardy inequalities on Riemannian manifolds ⋮ Hardy inequalities with best constants on Finsler metric measure manifolds ⋮ Improved Hardy and Rellich inequalities on nonreversible Finsler manifolds ⋮ Hardy-Rellich identities with Bessel pairs ⋮ Sharp uncertainty principles on general Finsler manifolds ⋮ New positive periodic solutions to singular Rayleigh prescribed mean curvature equations ⋮ Sufficient criteria for obtaining Hardy inequalities on Finsler manifolds ⋮ New sharp Hardy and Rellich type inequalities on Cartan–Hadamard manifolds and their improvements ⋮ Hardy type inequalities on closed manifolds via Ricci curvature ⋮ Finsler-Rellich inequalities involving the distance to the boundary

Cites Work

• Best constants in the Hardy-Rellich inequalities and related improvements
• The theory of sprays and Finsler spaces with applications in physics and biology
• Improved Hardy and Rellich inequalities on Riemannian manifolds
• HARDY INEQUALITIES ON RIEMANNIAN MANIFOLDS WITH NEGATIVE CURVATURE
• Unnamed Item

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