REGULARITY FOR SOLUTIONS TO NONLINEAR ELLIPTIC EQUATIONS

被引：0
|
作者：
Greco, Luigi [1 ]
Moscariello, Gioconda [1 ]
Zecca, Gabriella [1 ]
机构：
[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2013年 / 26卷 / 9-10期
关键词：
LOWER-ORDER TERMS; SPACES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let Omega be a domain of R-N, N > 2. We establish higher integrability for solutions u is an element of W-loc(1,p) (Omega) of nonlinear PDEs whose prototype is div[vertical bar del u vertical bar(p-2)del u+B(x)vertical bar u vertical bar(p-2)u] = div(vertical bar F vertical bar Fp-2) with 1 < p < N. We assume that the vector field B: Omega -> R-N belongs N to the Marcinkiewicz space L-N/p-1,L-infinity. We prove that F is an element of L-loc(T)(Omega, R-N) p < r < N, implies u is an element of L-loc(r) (Omega).
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页码：1105 / 1113
页数：9
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