REVERSE HOLDER INEQUALITIES AND HIGHER INTEGRABILITY FOR SUBCRITICAL PARABOLIC EQUATIONS

被引：0

作者：

Fugazzola, Andrea ^{[1
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2012年 / 17卷 / 1-2期

关键词：

PARTIAL REGULARITY; ELLIPTIC SYSTEMS; WEAK SOLUTIONS; BOUNDARY; GROWTH;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a local higher integrability result for the gradient of solutions to singular, parabolic equations of p-Laplacian type. To this end, we show that solutions satisfy a reverse Holder inequality on intrinsic cylinders, whose geometry depends on the L-r-norm of the solution. The exponent r >= 2 allows us to derive estimates in the subcritical range 1 < p <= 2N/(N + 2).

引用

页码：151 / 172

页数：22

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