Existence of three solutions for perturbed nonlinear fractional \(p\)-Laplacian boundary value systems with two control parameters

DOI10.1007/s11868-020-00354-yzbMath1454.35140OpenAlexW3041517844MaRDI QIDQ2210485

Fares Kamache, Rafik Guefaifia, Salah Mahmoud Boulaaras

Publication date: 6 November 2020

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-020-00354-y

zbMATH Keywords

Dirichlet problemcritical point theoryvariational methodnonlinear fractional \(p\)-Laplacian

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (13)

On the existence of three solutions of Dirichlet fractional systems involving the \(p\)-Laplacian with Lipschitz nonlinearity ⋮ Existence of weak solutions for a new class of fractional boundary value impulsive systems with Riemann-Liouville derivatives ⋮ On the extinction problem for a \(p\)-Laplacian equation with a nonlinear gradient source ⋮ Infinitely many solutions for a class of fractional Robin problems with variable exponents ⋮ Numerical solution of the fractional‐order logistic equation via the first‐kind Dickson polynomials and spectral tau method ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Infinite existence solutions of fractional systems with Lipschitz nonlinearity ⋮ Unnamed Item ⋮ On existence of sequences of weak solutions of fractional systems with Lipschitz nonlinearity ⋮ Asymptotic behavior of solutions to free boundary problem with Tresca boundary conditions ⋮ Critical \(p(x)\)-Kirchhoff problems involving variable singular exponent ⋮ EXISTENCE OF 3-WEAK SOLUTIONS FOR A NEW CLASS OF AN OVERDETERMINED SYSTEM OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

Cites Work

• Unnamed Item
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• Impulsive periodic boundary value problems for fractional differential equation involving Riemann-Liouville sequential fractional derivative
• Basic theory of fractional differential equations
• Positive solutions to singular boundary value problem for nonlinear fractional differential equation
• Integral equations and initial value problems for nonlinear differential equations of fractional order
• A three critical points theorem revisited
• Critical point theory and Hamiltonian systems
• Multiplicity results for a perturbed elliptic Neumann problem
• Existence and multiplicity of nontrivial solutions for nonlinear fractional differential systems with p‐Laplacian via critical point theory
• EXISTENCE RESULTS FOR FRACTIONAL BOUNDARY VALUE PROBLEM VIA CRITICAL POINT THEORY
• EXISTENCE OF 3-WEAK SOLUTIONS FOR A NEW CLASS OF AN OVERDETERMINED SYSTEM OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS
• General decay and blow up of solution for a nonlinear wave equation with a fractional boundary damping
• EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATION WITH <i>P</i>-LAPLACIAN THROUGH VARIATIONAL METHOD
• Positive solutions for boundary value problem of nonlinear fractional differential equation

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