Anisotropic equations in weighted Sobolev spaces of higher order

被引：5
|
作者：
Chrif M. [1 ]
El Manouni S. [2 ]
机构：
[1] Department of Mathematics and Informatics, Faculty of Sciences, Université Sidi Mohamed Ben Abde Lah, Atlas-Fès, Fès 30000
[2] Department of Mathematics, Faculty of Sciences, Al-Imam University, Riyadh 11623
来源：
Ricerche di Matematica | 2009年 / 58卷 / 1期
关键词：
Anisotropic weighted Sobolev spaces; Existence results; Finite and infinite orders; Higher order; Monotonicity condition; Sign condition;
D O I：
10.1007/s11587-009-0045-1
中图分类号：
学科分类号：
摘要：
We consider the strongly nonlinear boundary value problem, Au+g(x,u)=f where A is an elliptic operator of finite or infinite order. We introduce anisotropic weighted Sobolev spaces and we show under a certain sign condition of the Carathéodory function g without assuming any growth restrictions, the existence of the weak solutions. © 2009 Università degli Studi di Napoli "Federico II".
引用
收藏
页码：1 / 14
页数：13
相关论文
共 50 条
  • [1] Elliptic equations of higher-order in weighted Sobolev spaces
    Azroul E.
    Benkirane A.
    Redwane H.
    Rhoudaf M.
    Afrika Matematika, 2014, 25 (3) : 645 - 665
  • [2] Uniqueness Results for Higher Order Elliptic Equations in Weighted Sobolev Spaces
    Caso, Loredana
    Di Gironimo, Patrizia
    Monsurro, Sara
    Transirico, Maria
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 2018
  • [3] On Euler Equations in Higher Order Sobolev Spaces
    Vitaly Moroz
    Potential Analysis, 2001, 14 : 93 - 106
  • [4] On Euler equations in higher order Sobolev spaces
    Moroz, V
    POTENTIAL ANALYSIS, 2001, 14 (01) : 93 - 106
  • [5] Higher order elliptic equations in weighted Banach spaces
    Bilalov B.T.
    Sadigova S.R.
    Softova L.G.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2024, 70 (4) : 1351 - 1373
  • [6] A Higher-Order Hardy-Type Inequality in Anisotropic Sobolev Spaces
    Secchi, Paolo
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 2012
  • [7] Higher-order nondivergence elliptic and parabolic equations in Sobolev spaces and Orlicz spaces
    Wang, Lihe
    Yao, Fengping
    JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 262 (08) : 3495 - 3517
  • [8] CAUCHY PROBLEMS FOR FIFTH-ORDER KDV EQUATIONS IN WEIGHTED SOBOLEV SPACES
    Bustamante, Eddye
    Jimenez, Jose
    Mejia, Jorge
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
  • [9] Cauchy problem for higher-order Schrodinger equations in anisotropic Sobolev space
    Guo, Cuihua
    Zhao, Xiangqing
    Wei, Xuemei
    APPLICABLE ANALYSIS, 2009, 88 (09) : 1329 - 1338
  • [10] Weighted Sobolev Spaces and Degenerate Elliptic Equations
    Cavalheiro, Albo Carlos
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2008, 26 (1-2): : 117 - 132
12345