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This manuscript demonstrates the existence of three weak solutions for nonlinear equations using variational methods, indicating significant mathematical implications.
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.
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AHMED et al. (2026) studied this question.
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