Florian Gruen

collaborators

3 papers

math.AP2025

Regularity and structure of non-planar $p$ -elasticae

Florian Gruen, Tatsuya Miura

We prove regularity and structure results for $p$ -elasticae in $R^{n}$ , with arbitrary $p \in (1, \infty)$ and $n \geq 2$ . Planar $p$ -elasticae are already classified and known…

math.DS2024

Non-sufficiency of smoothness in the gradient conjecture

Florian Gruen

It is well known that for analytic cost functions, gradient flow trajectories have finite length and converge to a single critical point. The gradient conjecture of R. Thom states…

math.AP2024

Continuity up to the boundary for minimizers of the one-phase Bernoulli problem

Xavier FernÃ¡ndez-Real, Florian Gruen

We prove new boundary regularity results for minimizers to the one-phase Alt-Caffarelli functional (also known as Bernoulli free boundary problem) in the case of continuous and HÃ¶…

Regularity and structure of non-planar p-elasticae

Non-sufficiency of smoothness in the gradient conjecture

Continuity up to the boundary for minimizers of the one-phase Bernoulli problem

Regularity and structure of non-planar $p$ -elasticae