Tobias Lamm

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math.AP2025

Higher dimensional Sacks-Uhlenbeck-type functionals and applications

Gianmichele Di Matteo, Tobias Lamm

In this work, we generalize Sacks-Uhlenbeck's existence result for harmonic spheres, constructing for $n \geq 2$ , regular, non-trivial, $n$ -harmonic $n$ -spheres into suitable target…

math.AP2025

Sacks-Uhlenbeck type regularity for subcritical generalized $p$ -harmonic maps into Homogeneous targets

Gianmichele Di Matteo, Tobias Lamm

Adapting \cite{strz3}, we define generalized $p$ -harmonic maps into Riemannian homogeneous targets, a notion of solutions not belonging to the energy space. Restricting our attenti…

Higher dimensional Sacks-Uhlenbeck-type functionals and applications

Sacks-Uhlenbeck type regularity for subcritical generalized p-harmonic maps into Homogeneous targets

Sacks-Uhlenbeck type regularity for subcritical generalized $p$ -harmonic maps into Homogeneous targets