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1

Infinitely many solutions for systems of n two-point Kirchhoff-type boundary value problems

100%

Heidarkhani S.

Annales Polonici Mathematici

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2013

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tom 107

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nr 2

133-152

EN

Using Ricceri's variational principle, we establish the existence of infinitely many solutions for a class of two-point boundary value Kirchhoff-type systems.

2

Non-trivial solutions for a class of (p₁,...,pₙ)-biharmonic systems with Navier boundary conditions

100%

Heidarkhani S.

Annales Polonici Mathematici

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2012

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tom 105

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nr 1

65-76

EN

Using a recent critical point theorem due to Bonanno, the existence of a non-trivial solution for a class of systems of n fourth-order partial differential equations with Navier boundary conditions is established.

3

Existence of three solutions to a double eigenvalue problem for the p-biharmonic equation

63%

Li L., Heidarkhani S.

Annales Polonici Mathematici

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2012

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tom 104

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nr 1

71-80

EN

Using a three critical points theorem and variational methods, we study the existence of at least three weak solutions of the Navier problem ⎧$Δ(|Δu|^{p−2}Δu) − div(|∇u|^{p−2}∇u) = λf(x,u) + μg(x,u)$ in Ω, ⎨ ⎩u = Δu = 0 on ∂Ω, where $Ω ⊂ ℝ^{N}$ (N ≥ 1) is a non-empty bounded open set with a sufficiently smooth boundary ∂Ω, λ > 0, μ > 0 and f,g: Ω × ℝ → ℝ are two L¹-Carathéodory functions.

4

Existence of three solutions for a class of (p₁,...,pₙ)-biharmonic systems with Navier boundary conditions

51%

Heidarkhani S., Tian Y., Tang C.-L.

Annales Polonici Mathematici

|

2012

|

tom 104

|

nr 3

261-277

EN

We establish the existence of at least three weak solutions for the (p1,…,pₙ)-biharmonic system ⎧$Δ(|Δu_{i}|^{p−2}Δu_{i}) = λF_{u_{i}}(x,u₁,…,uₙ)$ in Ω, ⎨ ⎩$u_{i} = Δu_{i} = 0$ on ∂Ω, for 1 ≤ i ≤ n. The proof is based on a recent three critical points theorem.

Ograniczanie wyników

4 Annales Polonici Mathematici

4 Heidarkhani S.

1 Li L.

1 Tang C.-L.

1 Tian Y.

1 2013

3 2012

Infinitely many solutions for systems of n two-point Kirchhoff-type boundary value problems

Non-trivial solutions for a class of (p₁,...,pₙ)-biharmonic systems with Navier boundary conditions

Existence of three solutions to a double eigenvalue problem for the p-biharmonic equation

Existence of three solutions for a class of (p₁,...,pₙ)-biharmonic systems with Navier boundary conditions