Finite Morse Index Implies Finite Ends

Wang, KL; Wei, JC

Wang, KL (reprint author), Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China.

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2019; 72 (5): 1044

Abstract

We prove that finite Morse index solutions to the Allen-Cahn equation in Double-struck capital R-2 have finitely many ends and linear energy growth. T......

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