Existence of solutions for 4p-order PDES with Neumann boundary conditions

Existence of solutions for 4p-order PDES with Neumann boundary conditions

In this work, we study the existence of at least one non decreasing sequence of nonnegative eigenvalues for the problem: Where Ω is a bounded domain in ℝ with smooth boundary ∂ Ω, ∈ ℕ*, ∈ (Ω), and Δ := Δ (Δ...( Δ )), 2 times the operator Δ.

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Veröffentlicht in:Moroccan journal of pure and applied analysis 2023-01, Vol.9 (1), p.65-74
Hauptverfasser: Moradi, N., Moradi, F., Habib, S. El, Addam, M.
Format: Artikel
Sprache:eng
Schlagworte:
35R20
65N25
65N80
Eigenvalue problems
Fourth order PDEs
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Zusammenfassung:In this work, we study the existence of at least one non decreasing sequence of nonnegative eigenvalues for the problem: Where Ω is a bounded domain in ℝ with smooth boundary ∂ Ω, ∈ ℕ*, ∈ (Ω), and Δ := Δ (Δ...( Δ )), 2 times the operator Δ.
ISSN:2351-8227
2351-8227
DOI:10.2478/mjpaa-2023-0004