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- W2989689219 abstract "We prove the concavity of p-Rényi entropy power for positive solutions to the doubly nonlinear diffusion equations on Rn or compact Riemannian manifolds with nonnegative Ricci curvature. As applications, we give new proofs of the sharp Lp-Sobolev inequality and Lp-Gagliardo-Nirenberg inequalities on Rn. Moreover, two improvements of Lp-Gagliardo-Nirenberg inequalities are derived." @default.
- W2989689219 created "2019-12-05" @default.
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- W2989689219 date "2020-04-01" @default.
- W2989689219 modified "2023-09-23" @default.
- W2989689219 title "The concavity of p-Rényi entropy power for doubly nonlinear diffusion equations and L-Gagliardo-Nirenberg-Sobolev inequalities" @default.
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- W2989689219 doi "https://doi.org/10.1016/j.jmaa.2019.123698" @default.
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