Geometric Hardy inequalities on starshaped sets

zbMath1483.35009arXiv1902.03723MaRDI QIDQ5026409

Bolys Sabitbek, Michael Ruzhansky, Durvudkhan Suragan

Publication date: 8 February 2022

Full work available at URL: https://arxiv.org/abs/1902.03723

zbMATH Keywords

Carnot groupsub-Riemannian manifoldstarshaped setgeometric Hardy inequality

Mathematics Subject Classification ID

Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Cites Work

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• Hypoelliptic second order differential equations
• Starshapedeness for fully non‐linear equations in Carnot groups
• Quantizations on the Engel and the Cartan groups
• On (λ, μ)-Classes on the Engel Group

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