A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons
In this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we estimate the upper bound of $\vert \nabla u\v...
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| Hoofdauteurs: | , |
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| Formaat: | Artigo |
| Taal: | Inglês |
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University of Maragheh
2024-01-01
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| Reeks: | Sahand Communications in Mathematical Analysis |
| Onderwerpen: | |
| Online toegang: | https://scma.maragheh.ac.ir/article_706806_583d0d175de32a4b295b3e10c1b16fe7.pdf |
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