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Complex Variables and Elliptic Equations
An International Journal
Volume 60, 2015 - Issue 7
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Articles

Existence of multiple solutions for a singular and quasilinear equation

K. SaoudiCollege of sciences at Dammam, University of Dammam, 31441Dammam, Kingdom of Saudi Arabia.Correspondence[email protected]
&
M. KratouCollege of sciences at Dammam, University of Dammam, 31441Dammam, Kingdom of Saudi Arabia.
Pages 893-925 | Received 26 Nov 2013, Accepted 22 Oct 2014, Published online: 02 Dec 2014

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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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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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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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K. Saoudi & A. Ghanmi. (2017) A multiplicity results for a singular equation involving the p(x)-Laplace operator. Complex Variables and Elliptic Equations 62:5, pages 695-725.
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K. Saoudi. (2017) Existence and multiplicity of solutions for a quasilinear equation involving the p(x)-Laplace operator. Complex Variables and Elliptic Equations 62:3, pages 318-332.
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N. A. Al-Omair, D. Das, L. Snoussi, B. Sinha, R. Pradhan, K. Acharjee, K. Saoudi & N. Ouerfelli. (2016) A partial derivatives approach for estimation of the viscosity Arrhenius temperature in N,N-dimethylformamide + 1,4-dioxane binary fluid mixtures at temperatures from 298.15 K to 318.15 K. Physics and Chemistry of Liquids 54:5, pages 615-631.
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A. Ghanmi & K. Saoudi. (2016) A multiplicity results for a singular problem involving the fractional p-Laplacian operator. Complex Variables and Elliptic Equations 61:9, pages 1199-1216.
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Articles from other publishers (17)

Xiu Zhou, Hong-Ying Li & Jia-Feng Liao. (2023) Multiplicity of Positive Solutions for a Semilinear Elliptic System with Strongly Coupled Critical Terms and Concave Nonlinearities. Qualitative Theory of Dynamical Systems 22:4.
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Mouna Kratou & Rana Alkhal. (2023) $$\pmb N$$-Laplacian Equation with a Nonlinear Neumann Boundary Condition and a Singular Nonlinearity. Mathematical Notes 114:3-4, pages 489-507.
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Abdeljabbar Ghanmi, Mouna Kratou, Kamel Saoudi & Dušan D. Repovš. (2022) Nonlocal p-Kirchhoff equations with singular and critical nonlinearity terms. Asymptotic Analysis 131:1, pages 125-143.
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Mouna Kratou. (2022) Kirchhoff systems involving fractional p-Laplacian and singular nonlinearity. Electronic Journal of Differential Equations 2022:01-87, pages 77.
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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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Mouna Kratou, Kamel Saoudi & Aisha AlShehri. (2021) Multiple solutions of a nonlocal system with singular nonlinearities. International Journal of Mathematics 32:10, pages 2150072.
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Mounir Hsini, Kamel Saoudi & Mouldi Seddik. (2021) A multiplicity results for a singular quasilinear elliptic equation. International Journal of Mathematics 32:10, pages 2150071.
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Kamel Akrout, Nor Elhouda Soltani & Sounia Zediri. (2020) Existence and multiplicity of solutions for singular fractional elliptic system via the Nehari manifold approach. Novi Sad Journal of Mathematics 51:1, pages 163-183.
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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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K. Saoudi. (2018) A fractional Kirchhoff system with singular nonlinearities. Analysis and Mathematical Physics 9:3, pages 1463-1480.
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Mouna Kratou. (2019) Three solutions for a semilinear elliptic boundary value problem. Proceedings - Mathematical Sciences 129:2.
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Kamel Saoudi. (2018) A singular System Involving the Fractional p-Laplacian Operator via the Nehari Manifold Approach. Complex Analysis and Operator Theory 13:3, pages 801-818.
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K. Saoudi, M. Kratou & E. Al Zahrani. (2019) Multiplicity Results for the Biharmonic Equation with Singular Nonlinearity of Super Exponential Growth in ℝ4. Mathematical Notes 105:3-4, pages 404-424.
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Yu Duan, Jia-Feng Liao & Xin Sun. (2018) An exact estimate result for singular -Laplacian equations with sign-changing potential . Computers & Mathematics with Applications 76:8, pages 2022-2034.
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Kamel Saoudi. (2018) The fibering map approach to a $p(x)$-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary conditions. Rocky Mountain Journal of Mathematics 48:3.
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Kamel Saoudi. (2017) A critical fractional elliptic equation with singular nonlinearities. Fractional Calculus and Applied Analysis 20:6, pages 1507-1530.
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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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