A sharp estimate a la Calderon-Zygmund for the p-Laplacian

作者：Brasco Lorenzo^*; Santambrogio Filippo

来源：Communications in Contemporary Mathematics, 2018, 20(3): 1750030.

DOI：10.1142/S0219199717500304

• Degenerate quasilinear elliptic equations
• regularity of solutions
• higher differentiability

We consider local weak solutions of the Poisson equation for the p-Laplace operator. We prove a higher differentiability result, under an essentially sharp condition on the right-hand side. The result comes with a local scaling invariant a priori estimate.

• 出版日期2018-5