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- W4384558950 abstract "Abstract Let $2le nle 9$. Suppose that $f:{{mathbb {R}}}to {{mathbb {R}}}$ is locally Lipschitz function satisfying $f(t)ge Amin {0,t}-K$ for all $tin {{mathbb {R}}}$ with some constant $Age 0$ and $Kge 0$. We establish an a priori interior Hölder regularity of $C^{2}$-stable solutions to the semilinear elliptic equation $-Delta u=f(u)$. If, in addition, $f$ is nondecreasing and convex, we obtain the interior Hölder regularity of $W^{1,2}$-stable solutions. Note that the dimension $nle 9$ is optimal." @default.
- W4384558950 created "2023-07-18" @default.
- W4384558950 creator A5073208633 @default.
- W4384558950 date "2023-07-14" @default.
- W4384558950 modified "2023-09-27" @default.
- W4384558950 title "The Boundedness of Stable Solutions to Semilinear Elliptic Equations With Linear Lower Bound on Nonlinearities" @default.
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- W4384558950 doi "https://doi.org/10.1093/imrn/rnad155" @default.
- W4384558950 hasPublicationYear "2023" @default.
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