Renormalized solutions for a p(x)-Laplacian equation with Neumann nonhomogeneous boundary conditions and L-1-data

被引:0
作者
Azroul, Elhoussine [1 ]
Barbara, Abdelkrim [1 ]
Benboubker, Mohamed Badr [1 ]
Ouaro, Stanislas [2 ]
机构
[1] Fac Sci Dhar Mahraz, LAMA, Dept Math, BP 1796, Atlas Fes, Morocco
[2] Univ Ouagadougou, LAME, UFR Sci Exactes & Appl, Ouagadougou, Burkina Faso
来源
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2013年 / 40卷 / 01期
关键词
Generalized Sobolev spaces; Neumann boundary conditions; Renormalized solutions;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An existence result of a renormalized solution for the p(x)-Laplacian equation with Neumann nonhomogeneous boundary conditions and L-1-data is established
引用
收藏
页码:9 / 22
页数:14
相关论文
共 25 条
[1]   L1 existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions [J].
Andreu, F. ;
Igbida, N. ;
Mazon, J. M. ;
Toledo, J. .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2007, 24 (01) :61-89
[2]  
ANDREU F., 1997, ADV MATH SCI APPL, V7, P183
[3]  
Antontsev S. N., 2006, ANN U FERRARA SEZ 7, V52, P19, DOI [DOI 10.1007/S11565-006-0002-9, 10.1007/s11565-006-0002-9]
[4]  
Azroul E., 2012, ELECTRON J DIFFER EQ, V79, P1
[5]  
Azroul E., 2013, ELECTRON J DIFFER EQ, V68, P1
[6]  
Azroul E., 2012, AFRICAN DIASPORA J M, V13, P23
[7]  
Benboubker M. B., 2011, ELECT J DIFFUS EQUAT, P1
[8]   Renormalized solutions for nonlinear elliptic equations with variable exponents and L1 data [J].
Bendahmane, Mostafa ;
Wittbold, Petra .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (02) :567-583
[9]   EXISTENCE OF BOUNDED SOLUTIONS FOR NON-LINEAR ELLIPTIC UNILATERAL PROBLEMS [J].
BOCCARDO, L ;
MURAT, F ;
PUEL, JP .
ANNALI DI MATEMATICA PURA ED APPLICATA, 1988, 152 :183-196
[10]  
Boccardo L., 1995, ANN SCUOLA NORM-SCI, V22, P241