Daniel Stern

activity

20142022

most citedA Natural Min-Max Construction for Ginzburg-Landau Functionals

7 citations · 7 across the 3 of their papers we have counts for

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math.DG2022

Existence of harmonic maps and eigenvalue optimization in higher dimensions

Mikhail Karpukhin, Daniel Stern

We prove the existence of nonconstant harmonic maps of optimal regularity from an arbitrary closed manifold $(M^{n}, g)$ of dimension $n > 2$ to any closed, non-aspherical manifold $N$ …

math.DG2016★ 7 cited

A Natural Min-Max Construction for Ginzburg-Landau Functionals

Daniel Stern

We use min-max techniques to produce nontrivial solutions $u_{ε} : M \to R^{2}$ of the Ginzburg-Landau equation $Δ u_{ε} + \frac{1}{ε ^{2}} (1 - ∣ u_{ε} ∣^{2}) u_{ε} = 0$ on a given compact Riemannian…

math.DG2014

Low-order geometric actions with fields a metric and a matter field of arbitrary rank (undergraduate honors thesis)

Daniel Leeco Stern

We classify invariant Lagrangians of the form $L (g_{ij}, g_{ij, k}, g_{ij, k l}, D_{I}, D_{I, j})$ depending at most quadratically on the variables $g_{ij, k}, g_{ij, k l}$ and $D_{I}, D_{I, j}$ , wh…