2 papers
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 , regular, non-trivial, -harmonic -spheres into suitable target…
math.AP2025
Sacks-Uhlenbeck type regularity for subcritical generalized -harmonic maps into Homogeneous targets
Gianmichele Di Matteo, Tobias Lamm
Adapting \cite{strz3}, we define generalized -harmonic maps into Riemannian homogeneous targets, a notion of solutions not belonging to the energy space. Restricting our attenti…