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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 11
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Articles

Infinitely many solutions for Kirchhoff-type variable-order fractional Laplacian problems involving variable exponents

Li Wanga College of Science, East China Jiaotong University, Nanchang, People's Republic of ChinaView further author information
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Binlin Zhangb College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, People's Republic of ChinaCorrespondence[email protected]
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Pages 2418-2435 | Received 26 May 2019, Accepted 30 Oct 2019, Published online: 12 Nov 2019

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Sihua Liang, Patrizia Pucci & Binlin Zhang. (2023) Existence and multiplicity of solutions for critical nonlocal equations with variable exponents. Applicable Analysis 102:15, pages 4306-4329.
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Jiabin Zuo, Alessio Fiscella & Anouar Bahrouni. (2022) Existence and multiplicity results for p(⋅)&q(⋅) fractional Choquard problems with variable order. Complex Variables and Elliptic Equations 67:2, pages 500-516.
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R. Chammem, A. Sahbani & A. Saidani. Multiplicity of solutions for variable-order fractional Kirchhoff problem with singular term. Quaestiones Mathematicae 0:0, pages 1-17.
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Articles from other publishers (14)

Rym Chammem, Abdeljabbar Ghanmi & Mahfoudh Mechergui. (2024) Existence of Solutions for a Singular Double Phase Kirchhoff Type Problems Involving the Fractional q(x, .)-Laplacian Operator. Complex Analysis and Operator Theory 18:2.
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Jianwen Zhou, Yueting Yang & Wenbo Wang. (2024) Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems. Boundary Value Problems 2024:1.
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Mostafa Allaoui, Mohamed Karim Hamdani & Lamine Mbarki. (2023) A degenerate Kirchhoff-type problem involving variable $$s(\cdot )$$-order fractional $$p(\cdot )$$-Laplacian with weights. Periodica Mathematica Hungarica.
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Chunming Ju & Binlin Zhang. (2022) On fractional discrete -Laplacian equations via Clark’s theorem . Applied Mathematics and Computation 434, pages 127443.
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Jiabin Zuo, Debajyoti Choudhuri & Dušan D. Repovš. (2022) Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents. Fractional Calculus and Applied Analysis 25:6, pages 2532-2553.
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Jiabin Zuo, Debajyoti Choudhuri & Dušan D. Repovš. (2022) On critical variable-order Kirchhoff type problems with variable singular exponent. Journal of Mathematical Analysis and Applications 514:1, pages 126264.
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Weichun Bu, Tianqing An & Jiabin Zuo. (2022) A class of p 1 ( x , ⋅) & p 2 ( x , ⋅)-fractional Kirchhoff-type problem with variable s ( x , ⋅)-order and without the Ambrosetti-Rabinowitz condition in ℝ N . Open Mathematics 20:1, pages 267-290.
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Weichun Bu, Tianqing An, Guoju Ye & Chengwen Jiao. (2021) Existence Results for p1(x,·) and p2(x,·) Fractional Choquard–Kirchhoff Type Equations with Variable s(x,·)-Order. Mathematics 9:16, pages 1973.
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Weichun Bu, Tianqing An, José Vanteler da C. Sousa & Yongzhen Yun. (2021) Infinitely Many Solutions for Fractional p-Laplacian Schrödinger–Kirchhoff Type Equations with Symmetric Variable-Order. Symmetry 13:8, pages 1393.
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Jiabin Zuo, Libo Yang & Sihua Liang. (2020) A variable‐order fractional p (·)‐Kirchhoff type problem in ℝN . Mathematical Methods in the Applied Sciences 44:5, pages 3872-3889.
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Yong Wu, Zhenhua Qiao, Mohamed Karim Hamdani, Bingyu Kou & Libo Yang. (2021) A Class of Variable-Order Fractional -Kirchhoff-Type Systems . Journal of Function Spaces 2021, pages 1-6.
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Yating Guo & Guoju Ye. (2021) Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents. Journal of Function Spaces 2021, pages 1-7.
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Jianwen Zhou, Bianxiang Zhou & Yanning Wang. (2020) Multiplicity Results for Variable-Order Nonlinear Fractional Magnetic Schrödinger Equation with Variable Growth. Journal of Function Spaces 2020, pages 1-15.
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Andrea Giusti. (2020) MOND-like fractional Laplacian theory. Physical Review D 101:12.
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