Uniform Poincaré inequality in o-minimal structures

DOI10.7153/mia-2023-26-11OpenAlexW3211804974MaRDI QIDQ5881772

Guillaume Valette, Anna Valette-Stasica

Publication date: 13 March 2023

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.05019

zbMATH Keywords

Sobolev spacesPoincaré inequalitysubanalytic functionso-minimal structuressingular domains

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) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Cites Work

• Unnamed Item
• Uniform Poincaré-Sobolev and isoperimetric inequalities for classes of domains
• Lipschitz triangulations
• Characterizing spaces satisfying Poincaré inequalities and applications to differentiability
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• On Friedrichs--Poincaré-type inequalities
• Sobolev-Gagliardo-Nirenberg and Markov type inequalities on subanalytic domains
• Poincaré inequality on subanalytic sets
• On the Uniformity of the Constant in the Poincaré Inequality
• Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets
• Almost uniform domains and Poincaré inequalities
• On Poincaré-Friedrichs Type Inequalities for the Broken Sobolev Space ${\rm W}^{2,1}$
• On the Uniform Poincaré Inequality
• Tangential Markov inequalities on singular varieties
• Sobolev Spaces

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