3 papers
math.AP2024
Two Necessary and Sufficient Conditions to the Solvability of the Exterior Dirichlet Problem for the Monge-Ampère Equation
Cong Wang, Jiguang Bao
The present paper provides two necessary and sufficient conditions for the existence of solutions to the exterior Dirichlet problem of the Monge-Ampère equation with prescribed asy…
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…
math.AP2023
Existence of entire solutions to the Lagrangian mean curvature equations in supercritical phase
Zixiao Liu, Cong Wang, Jiguang Bao
In this paper, we establish the existence and uniqueness theorem of entire solutions to the Lagrangian mean curvature equations with prescribed asymptotic behavior at infinity. The…