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math.AP2023
Improved Lerey inequality and Trudinger-Moser type inequality involving the Leray potential
Huyuan Chen, Yihong Du, Feng Zhou
We obtain three types of results in this paper. Firstly we improve Leray's inequality by providing several types of reminder terms, secondly we introduce several Hilbert spaces bas…
math.AP2023
Rate of accelerated expansion of the epidemic region in a nonlocal epidemic model with free boundaries
Yihong Du, Wenjie Ni, Rong Wang
This paper is concerned with the long-time dynamics of an epidemic model whose diffusion and reaction terms involve nonlocal effects described by suitable convolution operators, an…