Multiple solutions for nonlocal fractional Kirchhoff type problems

DOI10.7153/dea-2022-14-39zbMath1524.35076OpenAlexW4313565823MaRDI QIDQ6174990

Shapour Heidarkhani, Ahmad Ghobadi

Publication date: 17 July 2023

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2022-14-39

zbMATH Keywords

Palais-Smale conditionvariational methodsfractional Orlicz-Sobolev spacesfractional \(a(.)\)-Laplacian

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Nonlinear ordinary differential operators (34L30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Cites Work

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• A variational approach to a Kirchhoff-type problem involving two parameters
• Solutions for a \(p(x)\)-Kirchhoff type equation with Neumann boundary data
• Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
• Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
• An existence result for nonlinear fractional differential equations on Banach spaces
• An application of variational methods to Dirichlet boundary value problem with impulses
• Critical point theory and Hamiltonian systems
• Some boundary value problems for Hartman-type perturbations of the ordinary vector \(p\)-Laplacian
• Multiple solutions for degenerate nonlocal problems
• Multiplicity of solutions for integral boundary value problems of fractional differential equations with upper and lower solutions
• Multiple solutions of nonlinear impulsive differential equations with Dirichlet boundary conditions via variational method
• Eigenvalue problem associated with nonhomogeneous integro-differential operators
• Supercritical fractional Kirchhoff type problems
• Existence of solutions for a nonlocal type problem in fractional Orlicz Sobolev spaces
• Three solutions for a Schrödinger-Kirchhoff type equation involving nonlocal fractional integro-defferential operators
• Existence of solutions for a \(p(x)\)-Kirchhoff-type equation
• Fractional order Orlicz-Sobolev spaces
• A critical Kirchhoff type problem involving a nonlocal operator
• Fractional boundary value problems with integral boundary conditions
• Existence and multiplicity of solutions for fractional p(x,.)-Kirchhoff-type problems in ℝ^N
• Nontrivial solutions for one-dimensional fourth-order Kirchhoff-type equations

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