Lauro Silini

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20222026

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math.DG2022

Approaching the isoperimetric problem in $H_{C}^{m}$ via the hyperbolic log-convex density conjecture

Lauro Silini

We prove that geodesic balls centered at some base point are isoperimetric in the real hyperbolic space $H_{R}^{n}$ endowed with a smooth, radial, strictly log-convex density…

math.AP2022

Local existence of smooth solutions for the semigeostrophic equations on curved domains

Lauro Silini

We prove local-in-time existence of smooth solutions to the semigeostrophic equations in the general setting of smooth, bounded and simply connected domains of $R^{2}$ endow…

Approaching the isoperimetric problem in HCm​ via the hyperbolic log-convex density conjecture

Local existence of smooth solutions for the semigeostrophic equations on curved domains

Approaching the isoperimetric problem in $H_{C}^{m}$ via the hyperbolic log-convex density conjecture