Existence of positive solutions for the fourth-order elliptic boundary value problems

Abstract This paper is concerned with the existence of a positive solution of the nonlinear fourth-order elliptic boundary value problem { Δ 2 u = f ( x , u , Δ u ) , x ∈ Ω , u = Δ u = 0 , x ∈ ∂ Ω , $$ \left \{ \textstyle\begin{array}{l} {\Delta}^{2} u = f(x,\,u,\,\Delta u),\qquad x\in \Omega , \\ u...

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Bibliographic Details
Main Authors: Yongxiang Li, Shengbin Yang
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-025-02047-1
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