Existence and uniqueness of solutions of some nonlinear equations in Orlicz spaces and weighted Sobolev spaces

被引：0
|
作者：
Aharouch, L. [1 ]
Benkirane, A. [2 ]
Bennouna, J. [2 ]
Touzani, A. [2 ]
机构：
[1] Fac Polydisciplinaire Ouarzazate, BP 638, Ouarzazate, Morocco
[2] Dept Math & Informat, Fac Sci, Atlas Fes, Morocco
来源：
RECENT DEVELOPMENTS IN NONLINEAR ANALYSIS | 2010年
关键词：
Orlicz Sobolev spaces; Weighted Sobolev spaces; Renormalized solution; Entropy solution; Weak solution; Boundary value problems; ELLIPTIC PROBLEMS;
D O I：
10.1142/9789814295574_0012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show, in the framework of Orlicz Sobolev spaces, the existence of renormalized and entropy solutions of some nonlinear equations and the existence and uniqueness of a unilateral problem. The existence of weak and renormalized solution of a nonlinear equation is also presented in the framework of weighted Sobolev spaces.
引用
收藏
页码：170 / +
页数：3
相关论文
共 50 条
  • [31] On some nonlinear elliptic problems in anisotropic Orlicz–Sobolev spaces
    Rabab Elarabi
    Badr Lahmi
    Hakima Ouyahya
    Advances in Operator Theory, 2023, 8
  • [32] Existence of Entropic Solutions of an Elliptic Problem in Anisotropic Sobolev–Orlicz Spaces
    Kozhevnikova L.M.
    Journal of Mathematical Sciences, 2019, 241 (3) : 258 - 284
  • [33] Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
    Elhoussine Azroul
    Abdelmoujib Benkirane
    Mohammed Srati
    Advances in Operator Theory, 2020, 5 : 1350 - 1375
  • [34] Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz–Sobolev spaces
    Pablo Ochoa
    Analía Silva
    Maria José Suarez Marziani
    Annali di Matematica Pura ed Applicata (1923 -), 2024, 203 : 21 - 47
  • [35] Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
    Azroul, Elhoussine
    Benkirane, Abdelmoujib
    Srati, Mohammed
    ADVANCES IN OPERATOR THEORY, 2020, 5 (04) : 1350 - 1375
  • [36] Existence result for a second order nonlinear degenerate elliptic equation in weighted Orlicz-Sobolev spaces
    Azroul, E
    Benkirane, A
    PARTIAL DIFFERENTIAL EQUATIONS, PROCEEDINGS, 2002, 229 : 111 - 124
  • [37] NONLINEAR DEGENERATE ELLIPTIC EQUATIONS IN WEIGHTED SOBOLEV SPACES
    Benali, Aharrouch
    Jaouad, Bennouna
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
  • [38] On solutions of almost hypoelliptic equations in weighted Sobolev spaces
    Ghazaryan, H. G.
    Margaryan, V. N.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2010, 45 (04): : 239 - 249
  • [39] On solutions of almost hypoelliptic equations in weighted Sobolev spaces
    H. G. Ghazaryan
    V. N. Margaryan
    Journal of Contemporary Mathematical Analysis, 2010, 45 : 239 - 249
  • [40] Existence and uniqueness of solutions for nonlinear general fractional differential equations in Banach spaces
    Mei, Zhan-Dong
    Peng, Ji-Gen
    Gao, Jing-Huai
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2015, 26 (04): : 669 - 678
12345