G. Martin

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20242026

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math.CV2025

Diffeomorphic solutions of Ahlfors-Hopf equations

Gaven Martin, Cong Yao

Here we advance the study of boundary the value problem for extremal functions of mean distortion and the associated Teichmüller spaces interpolating between the classical examples…

math.CV2025

On the properness of $p$ -conformal energy on the Teichmüller space of a Riemann surface

Hala Alaqad, Jianhua Gong, Gaven Martin +1

We establish that the $p$ -conformal energy, $p \geq 1$ , defined by the $L^{p}$ -norms of the distortion of Sobolev mappings, is a proper functional on the Teichmüller space of Riemann…

Diffeomorphic solutions of Ahlfors-Hopf equations

On the properness of p-conformal energy on the Teichmüller space of a Riemann surface

On the properness of $p$ -conformal energy on the Teichmüller space of a Riemann surface