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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 9
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Articles

Existence and multiplicity of solutions for fractional p(x,.)-Kirchhoff-type problems in ℝN

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Pages 2029-2048 | Received 27 May 2019, Accepted 21 Sep 2019, Published online: 03 Oct 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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Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Shimi & Mohammed Srati. (2023) Embedding and extension results in fractional Musielak–Sobolev spaces. Applicable Analysis 102:1, pages 195-219.
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E. Azroul, A. Benkirane, M. Shimi & M. Srati. (2022) On a class of nonlocal problems in new fractional Musielak-Sobolev spaces. Applicable Analysis 101:6, pages 1933-1952.
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Articles from other publishers (23)

Mohammed Srati. (2024) Eigenvalue type problem in s(., .)-fractional Musielak–Sobolev spaces. Journal of Elliptic and Parabolic Equations.
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Lulu Tao, Rui He & Sihua Liang. (2023) Small perturbations of critical nonlocal equations with variable exponents. Demonstratio Mathematica 56:1.
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Maryam Mirzapour. (2023) Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Equations Involving the Fractional p(x, ·)-Laplacian. Russian Mathematics 67:8, pages 67-77.
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Limin Guo, Cheng Li & Jingbo Zhao. (2023) Existence of Monotone Positive Solutions for Caputo–Hadamard Nonlinear Fractional Differential Equation with Infinite-Point Boundary Value Conditions. Symmetry 15:5, pages 970.
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Weichun Bu, Tianqing An, Yingjie Li & Jianying He. (2023) Kirchhoff-Type Problems Involving Logarithmic Nonlinearity with Variable Exponent and Convection Term. Mediterranean Journal of Mathematics 20:2.
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Yun-Ho Kim. (2023) Infinitely Many Small Energy Solutions to Schrödinger-Kirchhoff Type Problems Involving the Fractional r(·)-Laplacian in RN. Fractal and Fractional 7:3, pages 207.
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Zhiwei Hao & Huiqin Zheng. (2023) Existence and multiplicity of solutions for fractional $ p(x) $-Kirchhoff-type problems. Electronic Research Archive 31:6, pages 3309-3321.
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Bin Ge & Shan-Shan Gao. (2023) On a class of fractional $ p(\cdot,\cdot) $-Laplacian equations in the whole space. Discrete and Continuous Dynamical Systems - S 0:0, pages 0-0.
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Weichun Bu, Tianqing An, Deliang Qian & Yingjie Li. (2022) (p(x),q(x))-Kirchhoff-Type Problems Involving Logarithmic Nonlinearity with Variable Exponent and Convection Term. Fractal and Fractional 6:5, pages 255.
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Mustapha Ait Hammou. (2022) Weak solutions for fractional p ( x ,·)-Laplacian Dirichlet problems with weight . Analysis 42:2, pages 121-132.
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Jinguo Zhang. (2021) Existence results for a Kirchhoff-type equations involving the fractional $$p_{1}(x)$$ & $$p_{2}(x)$$-Laplace operator. Collectanea Mathematica 73:2, pages 271-293.
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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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Elhoussine Azroul, Abdelmoujib Benkirane, Mohammed Shimi & Mohammed Srati. (2022) Multiple solutions for a binonlocal fractional p(x,·)-Kirchhoff type problem. Journal of Integral Equations and Applications 34:1.
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Jiabin Zuo, Amita Soni & Debajyoti Choudhuri. (2022) Fractional p(·)-Kirchhoff Type Problems Involving Variable Exponent Logarithmic Nonlinearity. Fractal and Fractional 6:2, pages 106.
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Jiabin Zuo, Alessio Fiscella & Anouar Bahrouni. (2020) 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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Abdelaaziz Sbai, Youssef El Hadfi, Mohammed Srati & Noureddine Aboutabit. (2022) Existence of solution for Kirchhoff type problem in Orlicz-Sobolev spaces Via Leray-Schauder's nonlinear alternative. Discrete & Continuous Dynamical Systems - S 15:1, pages 213.
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Elhoussine Azroul, Athmane Boumazourh & Nguyen Thanh Chung. (2021) Existence of Solutions for a Class of Fractional Kirchhoff-type Systems in $\mathbb{R}^N$ with Non-standard Growth. Taiwanese Journal of Mathematics 25:5.
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Elhoussine Azroul, Abdelmoujib Benkirane & Mohammed Srati. (2021) Eigenvalue problem associated with nonhomogeneous integro-differential operators. Journal of Elliptic and Parabolic Equations 7:1, pages 47-64.
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E. Azroul, A. Benkirane, N. T. Chung & M. Shimi. (2021) EXISTENCE RESULTS FOR ANISOTROPIC FRACTIONAL (<i>p</i><sub>1</sub>(<i>x</i>, .), <i>p</i><sub>2</sub>(<i>x</i>, .))-KIRCHHOFF TYPE PROBLEMS. Journal of Applied Analysis & Computation 11:5, pages 2363-2386.
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Elhoussine Azroul, Abdelmoujib Benkirane & Mohammed Srati. (2020) Three solutions for a Schrödinger–Kirchhoff type equation involving nonlocal fractional integro-defferential operators. Journal of Pseudo-Differential Operators and Applications 11:4, pages 1915-1932.
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Elhoussine Azroul, Abdelmoujib Benkirane & Mohammed Srati. (2020) Nonlocal eigenvalue type problem in fractional Orlicz-Sobolev space. Advances in Operator Theory 5:4, pages 1599-1617.
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Elhoussine Azroul, Abdelmoujib Benkirane & Mohammed Shimi. (2020) General fractional Sobolev space with variable exponent and applications to nonlocal problems. Advances in Operator Theory 5:4, pages 1512-1540.
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Athmane BoumazourhMohammed Srati. (2020) Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space. Moroccan Journal of Pure and Applied Analysis 6:1, pages 42-52.
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