LIPSCHITZ REGULARITY FOR ORTHOTROPIC FUNCTIONALS WITH NONSTANDARD GROWTH CONDITIONS

Pierre Bousquet (1) , Lorenzo Brasco (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 I2M - Institut de Mathématiques de Marseille

We consider a model convex functional with orthotropic structure and super-quadratic nonstan-dard growth conditions. We prove that bounded local minimizers are locally Lipschitz, with no restrictions on the ratio between the highest and the lowest growth rate.

Domaines: Equations aux dérivées partielles [math.AP]

Pierre Bousquet, Lorenzo Brasco. LIPSCHITZ REGULARITY FOR ORTHOTROPIC FUNCTIONALS WITH NONSTANDARD GROWTH CONDITIONS. 2018. ⟨hal-01886305⟩