Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications

DOI10.1016/j.aim.2012.09.004zbMath1278.42033OpenAlexW2165612756MaRDI QIDQ1759377

Guozhen Lu, Lam Hoang Nguyen

Publication date: 20 November 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.09.004

zbMATH Keywords

Heisenberg groupMountain-Pass theoremMoser-Trudinger inequalitybest constants\(Q\)-sublaplacianexistence and multiplicity of nontrivial solutionssubelliptic equations of exponential growth

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92) Harmonic analysis and PDEs (42B37)

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