Infinitely of solutions for fractional κ(ξ)-Kirchhoff equation in Hκ(ξ)Π,ν;μ(Λ)

被引:1
作者
Sahbani, Abdelhakim [1 ]
Sousa, J. Vanterler da C. [2 ]
机构
[1] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia
[2] Univ Estadual Maranhao, Dept Math, Aerosp Engn, PPGEA UEMA,DEMATI, BR-65054 Sao Luis, MA, Brazil
关键词
fractional kappa(xi)-Kirchhoff-type equation; symmetric mountain pass theorem; variational methods; KIRCHHOFF-TYPE; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY;
D O I
10.1002/mma.10477
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This work aims to develop the variational framework for some Kirchhoff problems involving the mu-Hilfer operator. Precisely, we use the symmetric mountain pass theorem to prove the existence of unfairly of nontrivial solutions. Further, we research the results from the theory of variable exponent Sobolev spaces and from the theory of mu-fractional space H-kappa(xi)(Pi,nu;mu)(Lambda)
引用
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页码:3114 / 3129
页数:16
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