3 papers
math.AP2026
Optimal regularity of solutions to a singular cooperative system
Lili Du, Xu Tang, Cong Wang
In the pioneer work of vectorial free boundary problems \cite[Adv. Math. 280 (2015)]{ASUW15}, Andersson, Shahgholian, Uraltseva, and Weiss investigated the regularity theory of sol…
math.AP2024
On a class of coupled obstacle systems
Lili Du, Xu Tang, Cong Wang
In this paper, we explore cooperative and competitive coupled obstacle systems, which, up to now, are new type obstacle systems and formed by coupling two equations belonging to cl…
math.AP2023
Uniqueness of blowup at singular points for superconductivity problem
Lili Du, Xu Tang, Cong Wang
In this paper, we prove that the uniqueness of blowup at the maximum point of coincidence set of the superconductivity problem, mainly based on the Weiss-type and Monneau-type mono…