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).
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页码：151 / 172
页数：22
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