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- W2526302245 abstract "Uniqueness of nonzero positive solutions of a Laplacian elliptic equationarising in combustion theoryis of great interest in combustion theorysince it can be applied to determine where the extinction phenomenon occurs.We study the uniquenesswhenever the orders of the reaction rates are in $(-infty,1]$.Previous results on uniqueness treated the case when the ordersbelong to $[0,1)$. When the ordersare negative or 1, it is physically meaningful and the bimolecular reaction rate corresponds to the order 1,but there is little study on uniqueness.Our results on the uniqueness are completely new when the ordersare negative or 1, and alsoimprove some known results when the ordersbelong to $(0,1)$. Our results provide exact intervals of the Frank-Kamenetskii parameterson which the extinction phenomenon never occurs.The novelty of our methodology is to combine and utilize the resultsfrom Laplacian elliptic inequalities and equations to derive new results onuniqueness ofnonzero positive solutions for general Laplacian elliptic equations." @default.
- W2526302245 created "2016-10-07" @default.
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- W2526302245 date "2016-01-01" @default.
- W2526302245 modified "2023-10-17" @default.
- W2526302245 title "Uniqueness of nonzero positive solutions of Laplacian elliptic equations arising in combustion theory" @default.
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- W2526302245 doi "https://doi.org/10.3934/dcdsb.2016.21.849" @default.
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