21 citations · 40 across the 5 of their papers we have counts for
5 papers
Conformal Deformation to Scalar Flat Metrics with Constant Mean Curvature on the Boundary in Higher Dimensions
Szu-yu Sophie Chen
In 1992, motivated by Riemann mapping theorem, Escobar considered a version of Yamabe problem on manifolds of dimension n greater than 2 with boundary. The problem consists in find…
Optimal Curvature Decays on Asymptotically Locally Euclidean Manifolds
Szu-yu Sophie Chen
We present a method in nonlinear elliptic systems to study curvature decays on asymptotically locally Euclidean (ALE) manifolds. In particular, we show that scalar flat Kahler and…
Asymptotic Behaviors of Non-variational Elliptic Systems
Szu-yu Sophie Chen
We use a method, inspired by Pohozeav's work, to study asymptotic behaviors of non-variational elliptic systems in dimension n greater than two. The results apply to changing sign…
Conformal Deformation on Manifolds with Boundary
Szu-yu Sophie Chen
We consider natural conformal invariants arising from the Gauss-Bonnet formulas on manifolds with boundary, and study conformal deformation problems associated to them. The key tec…
Boundary value problems for some fully nonlinear elliptic equations
Szu-yu Sophie Chen
We consider a nonlinear version of the Yamabe problem on locally conformally flat compact manifolds with boundary. The main technique we used is to derive boundary estimates…