André Guerra

most citedTinyLev Acoustically Levitated Water: Direct Observation of Collective, Inter-Droplet Effects through Morphological and Thermal Analysis of Multiple Droplets

16 citations · 35 across the 8 of their papers we have counts for

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math.AP2024

On the existence of degenerate solutions of the two-dimensional $H$ -system

André Guerra, Xavier Lamy, Konstantinos Zemas

We consider entire solutions $ω \in H ˙^{1} (R^{2}; R^{3})$ of the $H$ -system $Δ ω = 2 ω_{x} \land ω_{y},$ which we refer to as bubbles. Surprisingly, and contrary to conjectures r…

math.AP2023★ 1 cited

Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension

André Guerra, Xavier Lamy, Konstantinos Zemas

In this work we prove a sharp quantitative form of Liouville's theorem, which asserts that, for all $n \geq 3$ , the weakly conformal maps of $S^{n - 1}$ with degree $\pm 1$ ar…

On the existence of degenerate solutions of the two-dimensional H-system

Sharp quantitative stability of the Möbius group among sphere-valued maps in arbitrary dimension

On the existence of degenerate solutions of the two-dimensional $H$ -system