Jinhuan Wang

activity

20132025

most citedSupercritical degenerate parabolic-parabolic Keller-Segel system -- existence criterion given by the best constant in Sobolev's inequality

6 citations · 14 across the 7 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.AP2017

On the best constant for Gagliardo-Nirenberg interpolation inequalities

Jian-Guo Liu, Jinhuan Wang

In this paper we derive the best constant for the following Gagliardo-Nirenberg interpolation inequality \begin{eqnarray*} \|u\|_{L^{m+1}}\leq C_{q,m,p} \|u\|^{1-θ}_{L^{q+1}}\|\nab…

math.AP2017★ 2 cited

Uniform in time $L^{\infty}$ -estimates for nonlinear aggregation-diffusion equations

Jose A. Carrillo, Jinhuan Wang

We derive uniform in time $L^{\infty}$ -bound for solutions to an aggregation-diffusion model with attractive-repulsive potentials or fully attractive potentials. We analyze two cases…

On the best constant for Gagliardo-Nirenberg interpolation inequalities

Uniform in time L∞-estimates for nonlinear aggregation-diffusion equations

Uniform in time $L^{\infty}$ -estimates for nonlinear aggregation-diffusion equations