Concept
Minimal surface
Related publications (150)
Stable cones in the thin one-phase problem
The aim of this work is to study homogeneous stable solutions to the thin (or fractional) one -phase free boundary problem. The problem of classifying stable (or minimal) homogeneous solutions in dimensions n >= 3 is completely open. In this context, axial ...
Johns Hopkins Univ Press2024Graphical solutions to one-phase free boundary problems
Xavier Fernandez-Real Girona, Hui Yu
We study viscosity solutions to the classical one-phase problem and its thin counterpart. In low dimensions, we show that when the free boundary is the graph of a continuous function, the solution is the half-plane solution. This answers, in the salient di ...
Berlin2023Short homology bases for hyperelliptic hyperbolic surfaces
Given a hyperelliptic hyperbolic surface S of genus g >= 2, we find bounds on the lengths of homologically independent loops on S. As a consequence, we show that for any lambda is an element of (0, 1) there exists a constant N(lambda) such that every such ...
Jerusalem2023Nanoscale local modification of PMMA refractive index by tip-enhanced femtosecond pulsed laser irradiation
Tip-enhanced optical effects have enabled a wide palette of nanoscale investigation techniques and recently they were successfully used to modify and manipulate matter with nanoscale spatial resolution. We contribute to this latter area by reporting a viab ...
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