Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 42, 2017, 723-733

LIOUVILLE TYPE THEOREM FOR NONLINEAR BOUNDARY VALUE PROBLEM ON HEISENBERG GROUP

Xiaojun Zhao

Peking University, School of Economics
Beijing, 100871, P.R. China; zhaoxiaojun 'at' pku.edu.cn

Abstract. In this paper, we establish some Liouville type theorem for nonlinear elliptic equation in the Heisenberg group with nonlinear boundary value condition. We use the moving plane method to prove our result.

2010 Mathematics Subject Classification: Primary 35J60, 35R03, 35J15.

Key words: Liouville type theorem, moving plane method, Heisenberg group.

Reference to this article: X. Zhao: Liouville type theorem for nonlinear boundary value problem on Heisenberg group. Ann. Acad. Sci. Fenn. Math. 42 (2017), 723-733.

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https://doi.org/10.5186/aasfm.2017.4243