Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group

DOI10.1112/plms.12495zbMath1523.35272MaRDI QIDQ6075059

Lu Chen, Maochun Zhu, Guozhen Lu

Publication date: 20 September 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(Q\)-subLaplacian Schrödinger equationsharp critical Trudinger-Moser inequality

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Quasilinear elliptic equations (35J62) Harmonic analysis and PDEs (42B37)

Related Items (4)

Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential ⋮ Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth ⋮ Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity ⋮ Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in \(\mathbb{R}^n\)

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