Publications [#318453] of Jian-Guo Liu

Papers Published

1. Huang, H; Liu, JG, A note on Monge-Ampère Keller-Segel equation, Applied Mathematics Letters, vol. 61 (November, 2016), pp. 26-34, Elsevier BV [doi]
   (last updated on 2025/05/01)

   Abstract:
   This note studies the Monge-Ampère Keller-Segel equation in a periodic domain Td(d≥2), a fully nonlinear modification of the Keller-Segel equation where the Monge-Ampère equation det(I+2v)=u+1 substitutes for the usual Poisson equation Δv=u. The existence of global weak solutions is obtained for this modified equation. Moreover, we prove the regularity in L∞(0,T;L∞W1,1+γ(Td)) for some γ>0.