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math.AP2019★ 1 cited
Axially symmetric solutions of Allen-Cahn equation with finite Morse index
Changfeng Gui, Kelei Wang, Juncheng Wei
In this paper we study axially symmetric solutions of Allen-Cahn equation with finite Morse index. It is shown that there does not exist such a solution in dimensions between a…
math.AP2019★ 1 cited
Half space theorem for the Allen-Cahn equation and related problems
Francois Hamel, Yong Liu, Pieralberto Sicbaldi +2
In this paper we obtain rigidity results for a bounded non-constant entire solution of the Allen-Cahn equation in , whose level set is contained in a ha…