Existence of Infinitely Many Solutions For a Class of Semilinear Subelliptic Equations on Rational Carnot Groups

DOI10.1515/ans-2007-0201zbMath1137.35039OpenAlexW2515769392MaRDI QIDQ5437304

Annunziata Loiudice

Publication date: 18 January 2008

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2007-0201

zbMATH Keywords

Carnot groupinfinitely many solutionsmountain pass geometrystratified Lie groupsemilinear subelliptic equation

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Discrete subgroups of Lie groups (22E40) Subelliptic equations (35H20)

Cites Work

• Subelliptic estimates and function spaces on nilpotent Lie groups
• Infinitely many solutions of a semilinear problem for the Heisenberg Laplacian on the Heisenberg group
• Harnack inequality for non-divergence form operators on stratified groups
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• A finite difference scheme on a non commutative group
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