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Original Articles

A multiplicity results for a singular equation involving the p(x)-Laplace operator

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Pages 695-725 | Received 02 Mar 2016, Accepted 08 Sep 2016, Published online: 28 Sep 2016

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Read on this site (6)

R. Chammem, A. Ghanmi & A. Sahbani. (2023) Nehari manifold for singular fractional p(x,.)-Laplacian problem. Complex Variables and Elliptic Equations 68:9, pages 1603-1625.
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Dušan D. Repovš & Kamel Saoudi. (2023) The Nehari manifold approach for singular equations involving the p(x)-Laplace operator. Complex Variables and Elliptic Equations 68:1, pages 135-149.
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A. Ghanmi, N. T. Chung & K. Saoudi. (2023) On some singular problems involving the fractional p(x,.) -Laplace operator. Applicable Analysis 102:1, pages 275-287.
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R. Chammem, A. Ghanmi & A. Sahbani. (2021) Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights. Complex Variables and Elliptic Equations 66:8, pages 1320-1332.
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Khaled Ben Ali. (2018) Existence results for Steklov problem involving the p(x)-Laplace operator. Complex Variables and Elliptic Equations 63:12, pages 1675-1686.
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K. Saoudi. (2017) On vs. local minimizers for a critical functional related to fractional p-Laplacian. Applicable Analysis 96:9, pages 1586-1595.
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Articles from other publishers (24)

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu & Jian Zhang. (2023) Parametric anisotropic singular equations with [p(z), q(z)]-growth conditions and indefinite perturbation. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117:4.
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Nikolaos S. Papageorgiou, Calogero Vetro & Francesca Vetro. (2023) Singular Anisotropic Problems with Competition Phenomena. The Journal of Geometric Analysis 33:6.
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Salvatore Leonardi & Nikolaos S. Papageorgiou. (2023) Singular Anisotropic Double Phase Problems. Results in Mathematics 78:3.
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Anupma Arora & Gaurav Dwivedi. (2023) Existence Results for Singular Double Phase Problem with Variable Exponents. Mediterranean Journal of Mathematics 20:3.
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Zhenhai Liu & Nikolaos S. Papageorgiou. (2023) Positive solutions for singular p(z)$p(z)$‐equations. Mathematische Nachrichten 296:5, pages 2024-2045.
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Jinxia Cen, Leszek Gasiński, Calogero Vetro & Shengda Zeng. (2023) Parametric anisotropic double phase free boundary problems with nonlocal terms and convection: Existence, stability and asymptotic behavior. Discrete and Continuous Dynamical Systems - S 0:0, pages 0-0.
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Lamine Mbarki. (2022) The Nehari Manifold Approach Involving a Singular p(x)-Biharmonic Problem with Navier Boundary Conditions. Acta Applicandae Mathematicae 182:1.
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J. Vanterler da C. Sousa, César T. Ledesma, Mariane Pigossi & Jiabin Zuo. (2022) Nehari Manifold for Weighted Singular Fractional p-Laplace Equations. Bulletin of the Brazilian Mathematical Society, New Series 53:4, pages 1245-1275.
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Abdelhak Mokhtari, Kamel Saoudi & Jiabin Zuo. (2022) Critical p(x)-Kirchhoff Problems Involving Variable Singular Exponent. Bulletin of the Iranian Mathematical Society 48:5, pages 2917-2942.
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Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu & Dušan D. Repovš. (2021) Anisotropic Singular Neumann Equations with Unbalanced Growth. Potential Analysis 57:1, pages 55-82.
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Nikolaos S. Papageorgiou & Andrea Scapellato. (2022) Positive Solutions for Anisotropic Singular Dirichlet Problems. Bulletin of the Malaysian Mathematical Sciences Society 45:3, pages 1141-1168.
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Nikolaos S. Papageorgiou & Patrick Winkert. (2021) On a class of singular anisotropic (p, q)-equations. Revista Matemática Complutense 35:2, pages 545-571.
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M. Ben Mohamed Salah, Abdeljabbar Ghanmi & Khaled Kefi. (2022) Existence and Multiplicity of Solutions for a Class of Fractional Kirchhoff Type Problems with Variable Exponents. Zurnal matematiceskoj fiziki, analiza, geometrii 18:2, pages 253-268.
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A. Mokhtari, K. Saoudi & N. T. Chung. (2021) A fractional $$p(x,\cdot )$$-Laplacian problem involving a singular term. Indian Journal of Pure and Applied Mathematics 53:1, pages 100-111.
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Leszek Gasiński & Nikolaos S. Papageorgiou. (2022) Singular equations with variable exponents and concave-convex nonlinearities. Discrete and Continuous Dynamical Systems - S 0:0, pages 0.
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Belhadj KarimA. LakhdiM. R. Sidi AmmiA. Zerouali. (2022) Existence and multiplicity results for a Steklov problem involving ( p ( x ), q ( x ))-Laplacian operator . Moroccan Journal of Pure and Applied Analysis 8:1, pages 44-53.
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Nikolaos S. Papageorgiou & Patrick Winkert. (2021) Positive Solutions for Singular Anisotropic (p, q)-Equations. The Journal of Geometric Analysis 31:12, pages 11849-11877.
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Nikolaos S. Papageorgiou, Vicenţiu D. Rǎdulescu & Youpei Zhang. (2021) Anisotropic singular double phase Dirichlet problems. Discrete & Continuous Dynamical Systems - S 14:12, pages 4465.
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Zhenhai Liu & Nikolaos Papageorgiou. (2021) Multiple positive solutions for singular anisotropic Dirichlet problems. Electronic Journal of Qualitative Theory of Differential Equations:47, pages 1-12.
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Khaled Kefi, Kamel Saoudi & Mohammed Mosa Al-Shomrani. (2020) On a Kirchhoff Singular $p(x)$-Biharmonic Problem with Navier Boundary Conditions. Acta Applicandae Mathematicae 170:1, pages 661-676.
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Kamel Saoudi. (2019) A singular elliptic system involving the p(x)-Laplacian and generalized Lebesgue–Sobolev spaces. International Journal of Mathematics 30:12, pages 1950064.
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Abdeljabbar Ghanmi. (2018) Nontrivial solutions for Kirchhoff-type problems involving the $p(x)$-Laplace operator. Rocky Mountain Journal of Mathematics 48:4.
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K. Ben Ali, A. Ghanmi & K. Kefi. (2017) Minimax method involving singular p ( x )-Kirchhoff equation . Journal of Mathematical Physics 58:11.
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K. Saoudi, M. Kratou & S. Alsadhan. (2016) Multiplicity Results for the -Laplacian Equation with Singular Nonlinearities and Nonlinear Neumann Boundary Condition . International Journal of Differential Equations 2016, pages 1-14.
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