Infinitely many solutions of a semilinear problem for the Heisenberg Laplacian on the Heisenberg group

DOI10.1007/s00229-004-0534-1zbMath1062.22024OpenAlexW2004099028MaRDI QIDQ1772067

Sara Maad

Publication date: 15 April 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-004-0534-1

zbMATH Keywords

Sobolev spaceHeisenberg groupsemilinear equationLaplacian

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (4)

Multiplicity and boundedness of solutions for quasilinear elliptic equations on Heisenberg group ⋮ Multiple solutions of semilinear elliptic systems on the Heisenberg group ⋮ Existence of Infinitely Many Solutions For a Class of Semilinear Subelliptic Equations on Rational Carnot Groups ⋮ Conservations laws for critical Kohn-Laplace equations on the Heisenberg group

Cites Work

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• Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
• Liouville theorems for semilinear equations on the Heisenberg group
• A note on Yamabe-type equations on the Heisenberg group
• Nonexistence results of solutions of semilinear differential inequalities on the Heisenberg group
• Semilinear subelliptic problems without compactness on Lie groups
• Generalized linking theorem with an application to a semilinear Schrödinger equation
• Hypoelliptic second order differential equations
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Non-existence results for semilinear kohn-laplace equations in unbounded domains
• An abstract version of the concentration compactness principle.
• Critical semilinear equations on the Heisenberg group: the effect of the topology of the domain

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