PLANAR QUASILINEAR ELLIPTIC EQUATIONS WITH RIGHT-HAND SIDE IN L(log L)δ

被引：8

作者：

Alberico, Angela ^{[1
]}

Alberico, Teresa ^{[2
]}

Sbordone, Carlo ^{[2
]}

机构：

[1] CNR, Ist Applicaz Calcolo Mauro Picone, Sez Napoli, I-80131 Naples, Italy

[2] Univ Naples Federico II, Dipartimento Matemat & Applicaz Renato Caccioppol, I-80126 Naples, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷 / 04期

关键词：

Elliptic equations; gradient regularity; Zygmund spaces; Grand Lebesgue spaces; SMALL LEBESGUE SPACES; SOBOLEV SPACES; INTEGRABILITY; EXISTENCE; GRAND; LP;

D O I：

10.3934/dcds.2011.31.1053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For Omega subset of R-2 a bounded open set with C-1 boundary, we study the regularity of the variational solution v is an element of W-0(1,2)(Omega) to the quasilinear elliptic equation of Leray-Lions -div A(x, del v) = f when f belongs to the Zygmund space L(log L)(delta)(Omega), 1/2 <= delta <= 1. We prove that vertical bar del v vertical bar belongs to the Lorentz space L-2,L-1/delta(Omega).

引用

页码：1053 / 1067

页数：15

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