Interior regularity results for inhomogeneous anisotropic quasilinear equations

被引：11
作者：
Antonini, Carlo Alberto [1 ]
Ciraolo, Giulio [1 ]
Farina, Alberto [2 ]
机构：
[1] Univ Milan, Dipartimento Matemat Federigo Enriques, Via Cesare Saldini 50, I-20133 Milan, Italy
[2] Univ Picardie Jules Verne, LAMFA, CNRS, UMR 7352, 33 Rue St Leu, F-80039 Amiens, France
来源：
MATHEMATISCHE ANNALEN | 2023年 / 387卷 / 3-4期
关键词：
LOCAL REGULARITY; MONOTONICITY; DEGENERATE;
D O I：
10.1007/s00208-022-02500-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider inhomogeneous p-Laplace type equations of the form -div (a del u)) = f in a possibly anisotropic setting. Under general assumptions on the source term f, we obtain quantitative Sobolev regularity results for the stress field a(del u) and weighted L-2 estimates for the Hessian of the solution. As far as we know, our results are new or refine the ones available in literature also when restricted to the Euclidean setting.
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页码：1745 / 1776
页数：32
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