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- W2913076603 abstract "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 $4$ and $10$. In dimension $3$, we prove that these solutions have finitely many ends. Furthermore, the solution has exactly two ends if its Morse index equals $1$." @default.
- W2913076603 created "2019-02-21" @default.
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- W2913076603 date "2019-01-31" @default.
- W2913076603 modified "2023-10-16" @default.
- W2913076603 title "Axially symmetric solutions of Allen-Cahn equation with finite Morse index" @default.
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- W2913076603 doi "https://doi.org/10.48550/arxiv.1901.11263" @default.
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