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math.AP2024
Fujita phenomena in nonlinear fractional Rayleigh-Stokes equations
Yiming Jiang, Jingchuang Ren, Yawei Wei
This paper concerns the Cauchy problems for the nonlinear Rayleigh-Stokes equation and the corresponding system with time-fractional derivative of order , which can be u…
math.AP2024
Properties of fractional p-Laplace equations with sign-changing potential
Yubo Duan, Yawei Wei
In this paper, we consider the nonlinear equation involving the fractional p-Laplacian with sign-changing potential. This model draws inspiration from De Giorgi Conjecture. There a…
math.AP2024
Wellposedness of the Master Equation for Mean Field Games with Grushin Type Diffusion
Yiming Jiang, Yawei Wei, Yiyun Yang
We study the wellposedness of the master equation for a second-order mean field games with the Grushin type diffusion. In order to do this, we obtain the properties of its solution…