Some non-existence results for critical equations on step-two stratified groups

DOI10.1016/S1631-073X(03)00193-6zbMath1021.22005OpenAlexW2085829718MaRDI QIDQ1408173

Francesco Uguzzoni, Andrea Bonfiglioli

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00193-6

zbMATH Keywords

stratified groupssemilinear sub-elliptic Dirichlet problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Analysis on real and complex Lie groups (22E30)

Cites Work

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• The Yamabe problem on CR manifolds
• Hypoelliptic differential operators and nilpotent groups
• A non-existence theorem for a semilinear Dirichlet problem involving critical exponent on halfspaces of the Heisenberg group
• Liouville theorems for semilinear equations on the Heisenberg group
• Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.
• Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type
• Asymptotic behavior of solutions of Schrödinger inequalities on unbounded domains of nilpotent Lie groups
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
• Indefinite semi–linear equations on the heisenberg group: a prior1 bounds and existence
• Critical semilinear equations on the Heisenberg group: the effect of the topology of the domain

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