Eigenvalue Problems for Fractional p(x, y)-Laplacian Equations with Indefinite Weight

被引：18
|
作者：
Nguyen Thanh Chung [1 ]
机构：
[1] Quang Binh Univ, Dept Math, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, Vietnam
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2019年 / 23卷 / 05期
关键词：
fractional p(x; y)-Laplacian problems; indefinite weight; fractional Sobolev space; variable exponent; variational methods; MULTIPLICITY; EXISTENCE; P(X)-LAPLACIAN; LAPLACIAN; SYSTEMS;
D O I：
10.11650/tjm/190404
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a class of eigenvalue problems for fractional p(x, y)-Laplacian equations with indefinite weight in fractional Sobolev space with variable exponent. Under some suitable conditions on the growth rates involved in the problem, we establish some results on the existence of a continuous family of eigenvalues using variational techniques and Ekeland's variational principle.
引用
收藏
页码：1153 / 1173
页数：21
相关论文
共 50 条
  • [1] STEKLOV EIGENVALUE PROBLEMS WITH INDEFINITE WEIGHT FOR THE (p, q)-LAPLACIAN
    Boukhsas, A.
    Zerouali, A.
    Chakrone, O.
    Karim, B.
    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2022, 67 (3-4): : 127 - 142
  • [2] Generalized eigenvalue problems for (p, q)-Laplacian with indefinite weight
    Tanaka, Mieko
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (02) : 1181 - 1192
  • [3] On a class of fractional p(x, y)-Kirchhoff type problems with indefinite weight
    Sajjadi, Seyed Mostafa
    Afrouzi, Ghasem Alizadeh
    CUBO-A MATHEMATICAL JOURNAL, 2024, 26 (01): : 107 - 122
  • [4] Eigenvalue Problems for Generalized p-Laplacian Fractional Equations
    Diao, Yajing
    IAENG International Journal of Applied Mathematics, 2023, 53 (03)
  • [5] EIGENVALUE PROBLEMS INVOLVING THE FRACTIONAL p(x)-LAPLACIAN OPERATOR
    Azroul, E.
    Benkirane, A.
    Shimi, M.
    ADVANCES IN OPERATOR THEORY, 2019, 4 (02): : 539 - 555
  • [6] p(x)-LAPLACIAN WITH INDEFINITE WEIGHT
    Kefi, Khaled
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (12) : 4351 - 4360
  • [7] EIGENVALUE PROBLEMS FOR THE P-LAPLACIAN WITH INDEFINITE WEIGHTS
    Cuesta, Mabel
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2001,
  • [8] Remarks on eigenvalue problems for fractional p(.)-Laplacian
    Bahrouni, Anouar
    Ho, Ky
    ASYMPTOTIC ANALYSIS, 2021, 123 (1-2) : 139 - 156
  • [9] On eigenvalue problems for the p(x)-Laplacian
    Marcos, Aboubacar
    Soninhekpon, Janvier
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 535 (02)
  • [10] Positive solutions for eigenvalue problems of fractional differential equations with p-Laplacian
    Lu, H.
    Han, Z.
    Sun, S.
    Zhang, C.
    SCIENTIA IRANICA, 2015, 22 (03) : 755 - 764
12345