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- W2964047992 abstract "In this paper, we are concerned with the weighted elliptic system begin{equation*} begin{cases} -Delta u=|x|^{beta} v^{vartheta}, -Delta v=|x|^{alpha} |u|^{p-1}u, end{cases}quad mbox{in}; mathbb{R}^N, end{equation*}where $N ge 5$, $alpha >-4$, $ 0 le beta < N-4$, $p>1$ and $vartheta=1$. We first apply Pohozaev identity to construct a monotonicity formula and reveal their certain equivalence relation. By the use of {it Pohozaev identity}, {it monotonicity formula} of solutions together with a {it blowing down} sequence, we prove Liouville-type theorems for stable solutions (whether positive or sign-changing) of the weighted elliptic system in the higher dimension." @default.
- W2964047992 created "2019-07-30" @default.
- W2964047992 creator A5049801304 @default.
- W2964047992 date "2017-01-01" @default.
- W2964047992 modified "2023-10-16" @default.
- W2964047992 title "A monotonicity formula and Liouville-type theorems for stable solutions of the weighted elliptic system" @default.
- W2964047992 doi "https://doi.org/10.57262/ade/1484881285" @default.
- W2964047992 hasPublicationYear "2017" @default.
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