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).

引用

页码：1105 / 1113

页数：9

共 15 条

[1] Alvino A., 1977, B UNIONE MAT ITAL, V14, P148
[2] [Anonymous], INTERPOLATION OPERAT
[3] [Anonymous], 2003, DIRECT METHODS CALCU, DOI DOI 10.1142/5002
[4] Boccardo L., 2012, Bollettino della Unione Matematica Italiana, V5, P357
[5] Carozza M., 1997, Differential and Integral Equations, V10, P599, DOI DOI 10.57262/DIE/1367438633
[6] Giannetti F, 2013, DIFFER INTEGRAL EQU, V26, P623
[7] An embedding theorem in Lorentz-Zygmund spaces
Greco, L
Moscariello, G
[J]. POTENTIAL ANALYSIS, 1996, 5 (06) : 581 - 590
[8] Ladyzhenskaya O.A., 1968, MATH SCI ENG, V46
[9] SOME RESULTS ON REGULARITY FOR SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS AND QUASI-REGULAR FUNCTIONS
MEYERS, NG
ELCRAT, A
[J]. DUKE MATHEMATICAL JOURNAL, 1975, 42 (01) : 121 - 136
[10] Mingione G, 2007, ANN SCUOLA NORM-SCI, V6, P195

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