6 papers · 1 filter
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…
Pohozaev identities and Kelvin transformation of semilinear Grushin equation
Yawei Wei, Xiaodong Zhou
In this paper, we study Pohozaev identities, Kelvin transformation and their applications of semilinear Grushin equation. First, we establish two Pohozaev identities generated from…
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…
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…
Mean Field Games with infinitely degenerate diffusion and non-coercive Hamiltonian
Yiming Jiang, Jingchuang Ren, Yawei Wei +1
In this paper, we consider a class of infinitely degenerate partial differential systems to obtain the Nash equilibria in the mean field games. The degeneracy in the diffusion and…
Degenerate Mean Field Games with Hörmander diffusion
Yiming Jiang, Jingchuang Ren, Yawei Wei +1
In this paper, we study a class of degenerate mean field game systems arising from the mean field games with Hörmander diffusion, where the generic player may have a ``forbidden''…