On the best constant for the Friedrichs-Knapp-Stein inequality in free nilpotent Lie groups of step two and applications to subelliptic PDE

DOI10.1007/BF02930723zbMath1116.35030OpenAlexW2005248088WikidataQ115391081 ScholiaQ115391081MaRDI QIDQ883211

András Domokos, Maria Stella Fanciullo

Publication date: 4 June 2007

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02930723

zbMATH Keywords

Free nilpotent groupssecond-order differentiabilitysubelliptic \(p\)-harmonic functionsSubelliptic PDE

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Analysis on other specific Lie groups (43A80) Subelliptic equations (35H20)

Related Items

Subelliptic estimates on compact semisimple Lie groups

Cites Work

• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• Differentiability of solutions for the non-degenerate \(p\)-Laplacian in the Heisenberg group
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Intertwining operators for semisimple groups
• A theorem of Lichtenstein
• On the existence of certain singular integrals
• Subelliptic Cordes estimates
• Applications of analysis on nilpotent groups to partial differential equations
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