Existence and multiplicity of weak solutions for a system of fourth‐order elliptic equations with combined nonlocal and indefinite source terms

This manuscript aims to investigate the existence of weak solutions for a system of partial differential equations (PDEs) described by Equation (1.2). The system consists of a set of PDEs with Leray–Lions operators and nonlinear terms. The goal is to establish the existence of at least one nontrivia...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2025-01, Vol.48 (1), p.517-534
1. Verfasser:	Kefi, Khaled
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Elliptic differential equations Elliptic functions Hardy potential indefinite weight Leray–Lions operator Leray–Lions‐type operators variable exponents nonlocal term Operators (mathematics) Partial differential equations
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