A note on Yamabe-type equations on the Heisenberg group

zbMath0972.35021MaRDI QIDQ1572930

Francesco Uguzzoni

Publication date: 13 November 2000

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

existence and nonexistence resultspositive entire solutions

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80) Subelliptic equations (35H20)

Related Items (12)

Multiple non-negative solutions to a semilinear equation on Heisenberg group with indefinite nonlinearity ⋮ Singular Adams inequality for biharmonic operator on Heisenberg group and its applications ⋮ A perturbation result for the Webster scalar curvature problem on the CR sphere. ⋮ Asymptotic behavior of solutions of Schrödinger inequalities on unbounded domains of nilpotent Lie groups ⋮ Nonlinear Liouville theorems for some critical problems on \(H\)-type groups. ⋮ Bounded solutions for a class of semilinear equations on the Heisenberg group ⋮ Existence results for critical semi-linear equations on Heisenberg group domains ⋮ Infinitely many solutions of a semilinear problem for the Heisenberg Laplacian on the Heisenberg group ⋮ Critical semilinear equations on the Heisenberg group: the effect of the topology of the domain ⋮ Some existence results for the Webster scalar curvature problem in presence of symmetry ⋮ Non-characteristic Heisenberg group domains ⋮ Fractional Adams-Moser-Trudinger type inequality on Heisenberg group

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