Gagliardo-Nirenberg inequalities on manifolds

DOI10.1016/j.jmaa.2008.09.013zbMath1157.58014arXiv0707.2130OpenAlexW2032513633MaRDI QIDQ953514

Nadine Badr

Publication date: 6 November 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2130

zbMATH Keywords

interpolationSobolev spacesymmetrizationGagliardoNirenberg

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Partial differential equations on manifolds; differential operators (58J99) Systems of functional equations and inequalities (39B72) Inequalities involving other types of functions (26D07)

Related Items (10)

Extremal values of the (fractional) Weinstein functional on the hyperbolic space ⋮ A note on Coulhon type inequalities ⋮ Nash-type inequalities on metric-measure spaces ⋮ Improved Sobolev inequalities and Muckenhoupt weights on stratified Lie groups ⋮ Caffarelli–Kohn–Nirenberg inequalities on Lie groups of polynomial growth ⋮ Gagliardo-Nirenberg inequalities ⋮ Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces ⋮ A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation ⋮ A Gagliardo-Nirenberg type inequality for rapidly decaying functions ⋮ A note on the Gagliardo-Nirenberg inequality in a bounded domain

Cites Work

• Symmetrization and sharp Sobolev inequalities in metric spaces
• Isoperimetricity for groups and manifolds
• Modulus and the Poincaré inequality on metric measure spaces
• On improved Sobolev embedding theorems
• Heat kernel estimates and Riesz transforms on some Riemannian covering manifolds
• Sharp Gagliardo-Nirenberg inequalities via symmetrization
• The Poincaré inequality is an open ended condition
• Some remarks on gradient estimates for heat kernels
• Real interpolation of Sobolev spaces
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• GAGLIARDO–NIRENBERG INEQUALITIES WITH A BMO TERM
• A Sharp Nonlinear Gagliardo–Nirenberg-Type Estimate and Applications to the Regularity of Elliptic Systems
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