THREE SOLUTIONS TO A ROBIN PROBLEM WITH TWO WEIGHTED GENERALIZED VARIABLE EXPONENT SOBOLEV SPACES

被引:0
|
作者
Unal, Cihan [1 ]
机构
[1] Sinop Univ, Dept Math, Sinop, Turkiye
关键词
Robin problem; Ricceri's variational principle; compact embedding; SMOOTH FUNCTIONS; MULTIPLICITY; EXISTENCE; DENSITY;
D O I
10.1216/rmj.2024.54.611
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By applying Ricceri's variational principle, we demonstrate the existence of solutions for a double weighted Robin problem in weighted variable exponent Sobolev spaces under some appropriate conditions.
引用
收藏
页码:611 / 621
页数:11
相关论文
共 50 条
  • [11] On the Robin Problem with Indefinite Weight in Sobolev Spaces with Variable Exponents
    Kefi, Khaled
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2018, 37 (01): : 25 - 38
  • [12] On a nonhomogeneous quasilinear eigenvalue problem in Sobolev spaces with variable exponent
    Mihailescu, Mihai
    Radulescu, Vicentiu
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (09) : 2929 - 2937
  • [13] Anisotropic obstacle Neumann problems in weighted Sobolev spaces and variable exponent
    Zineddaine, Ghizlane
    Sabiry, Abdelaziz
    Melliani, Said
    Kassidi, Abderrazak
    JOURNAL OF APPLIED ANALYSIS, 2024,
  • [14] Variable Exponent p(middot)-Kirchhoff Type Problem with Convection in Variable Exponent Sobolev Spaces
    El Hammar, Hasnae
    El Ouaarabi, Mohamed
    Allalou, Chakir
    Melliani, Said
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2023, 41 : 19 - 19
  • [15] ON THE WEIGHTED RELLICH-SOBOLEV AND HARDY-SOBOLEV INEQUALITIES IN VARIABLE EXPONENT LEBESGUE SPACES
    Edmunds, David
    Meskhi, Alexander
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2024, 178 (01) : 155 - 159
  • [16] WEAK SOLUTIONS OF THE STOKES PROBLEM IN WEIGHTED SOBOLEV SPACES
    SPECOVIUSNEUGEBAUER, M
    ACTA APPLICANDAE MATHEMATICAE, 1994, 37 (1-2) : 195 - 203
  • [17] WEIGHTED VARIABLE EXPONENT SOBOLEV SPACES WITH ZERO BOUNDARY VALUES AND CAPACITY ESTIMATES
    Unal, Cihan
    Aydin, Ismail
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2018, 36 (02): : 373 - 388
  • [18] On Some Properties of Relative Capacity and Thinness in Weighted Variable Exponent Sobolev Spaces
    Unal, C.
    Aydin, I.
    ANALYSIS MATHEMATICA, 2020, 46 (01) : 147 - 167
  • [19] On Some Properties of Relative Capacity and Thinness in Weighted Variable Exponent Sobolev Spaces
    C. Unal
    I. Aydin
    Analysis Mathematica, 2020, 46 : 147 - 167
  • [20] Optimal Control Problem for Bianchi Equation in Variable Exponent Sobolev Spaces
    Bandaliyev, Rovshan A.
    Guliyev, Vagif S.
    Mamedov, Ilgar G.
    Rustamov, Yasin I.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2019, 180 (01) : 303 - 320