1 citations · 1 across the 7 of their papers we have counts for
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Minimum and maximum conductance of a thin film layer bridged interface: the role of anharmonicity and layer thickness
Jingjie Zhang, Rouzbeh Rastgarkafshgarkolaei, Carlos A. Polanco +4
We study the role of anharmonicity at interfaces with an added intermediate layer designed to facilitate interfacial phonon transport. Our results demonstrate that while in the har…
Global estimates for the Monge-Ampère equation on polygonal domains in the plane
Nam Q. Le, Ovidiu Savin
We classify global solutions of the Monge-Ampère equation on the first quadrant in the plane with quadratic boundary data. As an application, we obtain global $C^{2…
On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity
Nam Q. Le
We revisit the problem of approximating minimizers of certain convex functionals subject to a convexity constraint by solutions of fourth order equations of Abreu type. This approx…
On singular Abreu equations in higher dimensions
Nam Q. Le
We study the solvability of the second boundary value problem of a class of highly singular, fully nonlinear fourth order equations of Abreu type in higher dimensions under either…
Global Hölder estimates for 2D linearized Monge-Ampère equations with right-hand side in divergence form
Nam Q. Le
We establish global Hölder estimates for solutions to inhomogeneous linearized Monge-Ampère equations in two dimensions with the right hand side being the divergence of a bounded v…