Asymptotic behavior of solutions of Schrödinger inequalities on unbounded domains of nilpotent Lie groups

zbMath0943.22008MaRDI QIDQ1962580

Francesco Uguzzoni

Publication date: 31 January 2000

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1999__102__51_0

zbMATH Keywords

asymptotic behaviornilpotent Lie groupsSchrödinger inequalities

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25)

Related Items (4)

\(L^p\)-weak regularity and asymptotic behavior of solutions for critical equations with singular potentials on Carnot groups ⋮ Some non-existence results for critical equations on step-two stratified groups ⋮ Nonlinear Liouville theorems for some critical problems on \(H\)-type groups. ⋮ Critical semilinear equations on the Heisenberg group: the effect of the topology of the domain

Cites Work

• An elementary proof of Harnack's inequality for Schrödinger operators and related topics
• Subelliptic estimates and function spaces on nilpotent Lie groups
• 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
• A note on Yamabe-type equations on the Heisenberg group
• Harnack's Inequality for Sum of Squares of Vector Fields Plus a Potential
• Non-existence results for semilinear kohn-laplace equations in unbounded domains
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