2 papers
math.AP2025
Boundary estimates for a fully nonlinear Yamabe problem on Riemannian manifolds
Weisong Dong, Yanyan Li, Luc Nguyen
In this paper, we consider the Dirichlet boundary value problem for fully nonlinear Yamabe equations on Riemannian manifolds with boundary. Assuming the existence of a subsolution,…
math.AP2025
Exterior Dirichlet problem for Hessian equations on a non-convex ring
Yanyan Li, Ling Xiao
In this paper, we prove the existence of a solution for the exterior Dirichlet problem for Hessian equations on a non-convex ring. Moreover, the solution we obtained is smooth. Thi…