Existence of Solutions of Anisotropic Problems with Variable Exponents with Robin Boundary Conditions

被引：0
作者：
Hsini, M. [1 ]
Mbarki, L. [1 ]
Das, K. [2 ]
机构：
[1] Fac Sci Tunis Manar, Math Dept, Tunis 2092, Tunisia
[2] Taki Govt Coll, Math Dept, Taki 743429, India
来源：
MATHEMATICAL NOTES | 2022年 / 112卷 / 5-6期
关键词：
anisotropic p(x)-Laplacian; anisotropic Sobolev space; Mountain pass theorem; Ekeland variational principle; Robin boundary conditions; SPACES; FUNCTIONALS;
D O I：
10.1134/S0001434622110244
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The existence of nontrivial weak solutions of the anisotropic problem with variable exponent and Robin boundary conditions is the focus of this research. We obtain the existence of solutions using the Mountain pass theorem and the Ekeland variational principle as well as the theory of the anisotropic variable exponent Sobolev space.
引用
收藏
页码：898 / 910
页数：13
相关论文
共 50 条
  • [21] Multiple solutions for two general classes of anisotropic systems with variable exponents
    Boureanu, Maria-Magdalena
    [J]. JOURNAL D ANALYSE MATHEMATIQUE, 2023, 150 (02): : 685 - 735
  • [22] Weak and entropy solutions to nonlinear Neumann boundary-value problems with variable exponents
    Ouaro, Stanislas
    Soma, Safimba
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2011, 56 (7-9) : 829 - 851
  • [23] Coercive and noncoercive elliptic problems with variable exponent Laplacian under Robin boundary conditions
    Dammak, Makkia
    Ali, Abir Amor Ben
    [J]. MATHEMATICA SLOVACA, 2022, 72 (06) : 1541 - 1550
  • [24] EXISTENCE OF SOLUTIONS FOR DISCONTINUOUS p(x)-LAPLACIAN PROBLEMS WITH CRITICAL EXPONENTS
    Shang, Xudong
    Wang, Zhigang
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [25] Existence and multiplicity of solutions for anisotropic elliptic equations with variable exponent
    El Amrouss, Abdelrachid
    El Mahraoui, Ali
    [J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2020, 47 (02): : 252 - 266
  • [26] Existence of Solutions of Second Order Boundary Value Problems with Integral Boundary Conditions and Singularities
    Ye, Guoju
    Li, Xiuli
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [27] Existence results for double phase obstacle problems with variable exponents
    Benslimane, Omar
    Aberqi, Ahmed
    Bennouna, Jaouad
    [J]. JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2021, 7 (02) : 875 - 890
  • [28] Strongly anisotropic elliptic problems of infinite order with variable exponents
    Abdou, M. H.
    Benkirane, A.
    Chrif, M.
    El Manouni, S.
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, 59 (10) : 1403 - 1417
  • [29] Existence and multiplicity of solutions for critical nonlocal equations with variable exponents
    Liang, Sihua
    Pucci, Patrizia
    Zhang, Binlin
    [J]. APPLICABLE ANALYSIS, 2023, 102 (15) : 4306 - 4329
  • [30] MULTIPLE SOLUTIONS FOR p ( x )- KIRCHHOFF TYPE PROBLEMS WITH EXTENDED ROBIN BOUNDARY CONDITIONS
    Baladi, Houssam
    Aglzim, Abdellatif
    Filali, Mohammed
    Tsouli, Najib
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (83)
12345