3 papers
math.AP2025
Multi-spots Steady States in Two-species Keller-Segel Models with Logistic Growth: Large Chemotactic Attraction Regime
Fanze Kong, Juncheng Wei, Liangshun Xu
One of the most important findings in the study of chemotactic process is self-organized cellular aggregation, and a high volume of results are devoted to the analysis of a concent…
math.FA2025
Existence and Blow-up Profiles of Ground States in Second Order Multi-population Mean-field Games Systems
Fanze Kong, Juncheng Wei, Xiaoyu Zeng
In this paper, we utilize the variational structure to study the existence and asymptotic profiles of ground states in multi-population ergodic Mean-field Games systems subject to…
math.AP2024
Critical Mass Phenomena and Blow-up behavior of Ground States in stationary second order Mean-Field Games systems with decreasing cost
Marco Cirant, Fanze Kong, Juncheng Wei +1
This paper is devoted to the study of Mean-field Games (MFG) systems in the mass critical exponent case. We firstly establish the optimal Gagliardo-Nirenberg type inequality associ…