Positive solutions for n-dimensional fourth-order systems under a parametric condition

We establish the existence of positive solutions for a system of coupled fourth-order partial differential equations on a bounded domain $\Omega \subset \mathbb{R}^n$, $$\displaylines{ \Delta^2u_1 +\beta_1 \Delta u_1-\alpha_1 u_1=f_1({ x},u_1,u_2),\cr \Delta^2 u_2+\beta_2\Delta u_2-\alpha_2 u_2=f...

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Bibliographic Details
Main Authors: Pablo Alvarez-Caudevilla, Cristina Brandle, Devashish Sonowal
Format: Article
Language:English
Published: Texas State University 2025-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2025/56/abstr.html
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