4 citations · 11 across the 5 of their papers we have counts for
5 papers
The Symmetric Minimal Surface Equation
Kaveh Fouladgar, Leon Simon
For positive functions , where is an open subset of , the Symmetric Minimal Surface Equation (SME), is $\sum_{i=1}^{n}D_{i}\bigl(\frac{D_{i}u}{\…
A Liouville-type theorem for stable minimal hypersurfaces
Leon Simon
We prove that if is a strictly stable complete minimal hypersurface in Euclidean space with finite density at infinity and which lies on one side of a minimal cylinder with cro…
Stable minimal hypersurfaces in with singular set an arbitrary closed in
Leon Simon
With respect to a metric which is close to the standard Euclidean metric on , where and are given, we construct a class of…
A frequency function and singular set bounds for branched minimal immersions
Leon Simon, Neshan Wickramasekera
We show that any 2-valued C^{1, α} (α\in (0, 1)) function u = {u_{1}, u_{2}} on an open ball B in {\mathbb R}^{n} with values u_{1}, u_{2} \in {\mathbb R}^{k} whose graph, viewed a…
A general asymptotic decay lemma for elliptic problems
Leon Simon
We prove a general asymptotic decay lemma which is applicable in various contexts. As an example, the general theorem is shown to give lower growth estimates for entire and exterio…