scientific article

zbMath1381.35036MaRDI QIDQ2958560

Shapour Heidarkhani, Giuseppe Caristi, Ghasem Alizadeh Afrouzi, Shahin Moradi

Publication date: 3 February 2017

Full work available at URL: http://ejde.math.txstate.edu/Volumes/2017/25/abstr.html#latest

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zbMATH Keywords

critical point theoryvariational methodvariable exponent Sobolev spaces\(p(x)\)-Laplace operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations (35J62)

Related Items (10)

Multiple solutions for nonlocal elliptic problems driven by \(p(x)\)-biharmonic operator ⋮ Solutions to p(x)-Laplace type equations via nonvariational techniques ⋮ Existence of two non-zero weak solutions for a \(p(\cdot)\)-biharmonic problem with Navier boundary conditions ⋮ Unnamed Item ⋮ Generalized yamabe equations on riemannian manifolds and applications to Emden-Fowler problems ⋮ Variational approaches for a \(p\)-Laplacian boundary-value problem with impulsive effects ⋮ Uniqueness of weak solutions for a biharmonic problem ⋮ Unnamed Item ⋮ Critical points approaches to a nonlocal elliptic problem driven by \(p(x)\)-biharmonic operator ⋮ Existence of solutions for nonlocal elliptic systems involving \(p(x)\)-Laplace operator

Cites Work

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• Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions
• Existence of three solutions for \((p, q)\)-biharmonic systems
• Extensions of the mountain pass theorem
• A mountain pass theorem
• Higher nonlocal problems with bounded potential
• Three solutions for a Navier boundary value problem involving the \(p\)-biharmonic
• Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators
• Multiplicity results forp(x)-biharmonic equations with Navier boundary conditions
• Existence of three solutions for a class of (p₁,\ldots,p_n)-biharmonic systems with Navier boundary conditions
• Asymptotic stability for Kirchhoff systems in variable exponent Sobolev spaces
• Variational Methods for Nonlocal Fractional Problems
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Multiple solutions for elliptic equations involving a general operator in divergence form
• Gradient estimates for thep(x)-Laplacean system
• Eigenvalues for a fourth order elliptic problem

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