Jie He

most citedConvergence analysis of an explicit method and its random batch approximation for the McKean-Vlasov equations with non-globally Lipschitz conditions

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math.AP2024

Local and Global Log-Gradient estimates of solutions to $Δ_{p} v + b v^{q} + c v^{r} = 0$ on manifolds and applications

Jie He, Yuanqing Ma, Youde Wang

In this paper, we employ the Nash-Moser iteration technique to study local and global properties of positive solutions to the equation $Δ_{p} v + b v^{q} + c v^{r} = 0$ on complete Riemannian…

Local and Global Log-Gradient estimates of solutions to Δp​v+bvq+cvr=0 on manifolds and applications

Local and Global Log-Gradient estimates of solutions to $Δ_{p} v + b v^{q} + c v^{r} = 0$ on manifolds and applications