Triple Solutions for Nonlinear ( μ 1 (·), μ 2 (·)) — Laplacian–Schrödinger–Kirchhoff Type Equations

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Authors: Ahmed AHMED, Moussa Ahmed Salem Atigh, Mohamed Saad Bouh Elemine Vall
Cited by: 2
References: 49

Abstract

In this manuscript, we study a ( μ 1 (·), μ 2 (·)) — Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: where K 1 and K 2 are Kirchhoff functions, is a positive potential, and θ 1 ( z , ψ ) , θ 2 ( z , ψ ) are nonlinear source terms. Using Ricceri′s classical variational approach, we establish the existence of three weak solutions to this equation.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Nonlinear Differential Equations Analysis Nonlinear Waves and Solitons

Publication details

Journal / source
Journal of Function Spaces
Publisher
Wiley
Volume
2026
Issue
1
Publication date
1 January 2026
Language
EN