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• W2809082001 abstract "The elliptic sine-Gordon equation in the plane has a family of explicit multiple-end solutions (soliton-like solutions). We show that all the finite Morse index solutions belong to this family. We also prove they are non-degenerate in the sense that the corresponding linearized operators have no nontrivial bounded kernel. We then show that solutions with $2n$ ends have Morse index $n(n-1)/2.$" @default.
• W2809082001 created "2018-06-29" @default.
• W2809082001 creator A5046104271 @default.
• W2809082001 creator A5057351789 @default.
• W2809082001 date "2018-06-18" @default.
• W2809082001 modified "2023-10-12" @default.
• W2809082001 title "A complete classification of finite Morse index solutions to elliptic sine-Gordon equation in the plane" @default.
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• W2809082001 hasPublicationYear "2018" @default.
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