Existence and Multiplicity of Solutions for Fractional κ(ξ)-Kirchhoff-Type Equation

被引:0
作者
Sousa, J. Vanterler da C. [1 ]
Kucche, Kishor D. [2 ]
Nieto, Juan J. [3 ]
机构
[1] DEMATI UEMA, Dept Math, Aerosp Engn, PPGEA UEMA, BR-65054 Sao Luis, MA, Brazil
[2] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India
[3] Univ Santiago De Compostela, Dept Estat Analise Matemat & Optimizac, CITMAga, Santiago De Compostela 15782, Spain
关键词
Variational method; Fractional p(x)-Kirchhoff-type; Nonlocal problems; P-KIRCHHOFF-TYPE; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; ELLIPTIC EQUATION;
D O I
10.1007/s12346-023-00877-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we aim to tackle the questions of existence and multiplicity of solutions to a new class of kappa (xi )-Kirchhoff-type equation utilizing a variational approach. Further, we research the results from the theory of variable exponent Sobolev spaces and from the theory of space psi-fractional H-kappa(xi)(mu,nu; psi) (Lambda). In this sense, we present a few special cases and remark on the outcomes explored.
引用
收藏
页数:21
相关论文
共 50 条
[21]   Multiplicity of solutions for Kirchhoff-type problems involving critical growth [J].
Zhou, Chenxing ;
Miao, Fenghua ;
Liang, Sihua ;
Song, Yueqiang .
BOUNDARY VALUE PROBLEMS, 2014, :1-14
[22]   Multiple Solutions for a Kirchhoff-Type Equation [J].
Pei, Ruichang ;
Ma, Caochuan .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (03)
[23]   Existence of ground state solutions for a super-biquadratic Kirchhoff-type equation with steep potential well [J].
Du, Miao ;
Tian, Lixin ;
Wang, Jun ;
Zhang, Fubao .
APPLICABLE ANALYSIS, 2016, 95 (03) :627-645
[24]   Existence and multiplicity results for Kirchhoff-type problem with sublinear nonlinearity [J].
Chen, Peng ;
Zhang, Yuanyuan .
APPLIED MATHEMATICS LETTERS, 2021, 114 (114)
[25]   Existence and Multiplicity of Solutions for a Biharmonic Equation with p(x)-Kirchhoff Type [J].
Zhang, Qi ;
Miao, Qing .
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2021, 2021
[26]   Existence of Solutions for Kirchhoff-Type Fractional Dirichlet Problem with p-Laplacian [J].
Kang, Danyang ;
Liu, Cuiling ;
Zhang, Xingyong .
MATHEMATICS, 2020, 8 (01)
[27]   Existence and multiplicity of systems of Kirchhoff-type equations with general potentials [J].
Che, Guofeng ;
Chen, Haibo .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (03) :775-785
[28]   MULTIPLICITY AND CONCENTRATION OF SOLUTIONS FOR A FRACTIONAL p-KIRCHHOFF TYPE EQUATION [J].
Chen, Wenjing ;
Pan, Huayu .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2023, 43 (07) :2576-2607
[29]   Existence and multiplicity of solutions for a p-Kirchhoff equation on RN [J].
Huang, Jincheng .
BOUNDARY VALUE PROBLEMS, 2018,
[30]   Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities [J].
dos Santos, Gelson C. G. ;
Silva, Julio R. S. ;
Arruda, Suellen Cristina Q. ;
Tavares, Leandro S. .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (04) :822-842