On the Lipschitz character of orthotropic p-harmonic functions

作者：Bousquet P; Brasco L; Leone C^*; Verde A

来源：Calculus of Variations and Partial Differential Equations, 2018, 57(3): 88.

DOI：10.1007/s00526-018-1349-3

We prove that local weak solutions of the orthotropic p-harmonic equation are locally Lipschitz, for every and in every dimension. More generally, the result holds true for more degenerate equations with orthotropic structure, with right-hand sides in suitable Sobolev spaces.

• 出版日期2018-6