Lipschitz regularity for local minimizers of some widely degenerate problems

Pierre Bousquet, Lorenzo Brasco, Vesa Julin

We consider local minimizers of the functional \[ \sum_{i=1}^N \int (|u_{x_i}|-δ_i)^p_+\, dx+\int f\, u\, dx, \] where ${\delta }_1,\dots ,{\delta }_N\ge 0$ and $(\cdot {)}_{+}$ stands for the posit…