Liouville type theorem in the Heisenberg group with general nonlinearity

DOI10.1016/j.jde.2012.11.021zbMath1272.35097OpenAlexW1980938962MaRDI QIDQ1941133

Xiaohui Yu

Publication date: 11 March 2013

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.11.021

zbMATH Keywords

Heisenberg groupLiouville type theoremmoving planes

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (15)

Liouville type theorem for some nonlocal elliptic equations ⋮ Liouville type theorem for nonlinear elliptic equation involving Grushin operators ⋮ On singular solutions of Lane-Emden equation on the Heisenberg group ⋮ Liouville theorems for semilinear differential inequalities on sub-Riemannian manifolds ⋮ Liouville type theorems for Hartree and Hartree-Fock equations ⋮ The Dirichlet problem for a sub-elliptic equation with singular nonlinearity on the Heisenberg group ⋮ The Dirichlet condition for the conformable fractional sub-elliptic equation on the Heisenberg group ⋮ A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator ⋮ Symmetry for an integral system with general nonlinearity ⋮ Liouville type theorem for nonlinear elliptic equation with general nonlinearity ⋮ A nonlinear Liouville theorem for fractional equations in the Heisenberg group ⋮ Liouville type theorems for nonlinear elliptic equations on extended Grushin manifolds ⋮ Liouville type theorems for two mixed boundary value problems with general nonlinearities ⋮ Uniqueness of positive solutions to some nonlinear Neumann problems ⋮ Radial symmetry for systems of fractional Laplacian

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