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- W3129331100 abstract "We establish a generalization of Sturm–Picone comparison theorem for a pair of fractional nonlocal equations: $$begin{aligned} (-div. (A_1(x)nabla ))^{s} u= & {} C_{1}(x) u ,,,text { in },,Omega , u= & {} 0 ,,,,text { on },,,,,partial Omega , end{aligned}$$ and $$begin{aligned} (-div. (A_2(x)nabla ))^{s} v= & {} C_{2}(x) v ,,,text { in},,Omega , v= & {} 0 ,,,,text { on},,,,,partial Omega , end{aligned}$$ where $$Omega subset mathbb {R}^n$$ is an open bounded subset with smooth boundary, $$0<s<1,,,A_1,,A_2$$ are smooth, real symmetric and positive definite matrices on $${overline{Omega }}$$ and $$C_{1}, C_{2}in C^{alpha }({overline{Omega }}).$$" @default.
- W3129331100 created "2021-03-01" @default.
- W3129331100 creator A5082360994 @default.
- W3129331100 date "2021-02-18" @default.
- W3129331100 modified "2023-10-16" @default.
- W3129331100 title "Sturm–Picone theorem for fractional nonlocal equations" @default.
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- W3129331100 doi "https://doi.org/10.1007/s13324-021-00494-4" @default.
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