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This work investigates the existence of solutions for nonlinear elliptic equations driven by $(p(ullet), q(ullet))$-Laplacian operators.

April 25, 2026Boundary Value ProblemsOpen Access

Infinitely many solutions for a Neumann elliptic system with (p(· ), q(· ))-Laplacian type operator

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This work investigates the existence of solutions for nonlinear elliptic equations driven by $(p(ullet), q(ullet))$-Laplacian operators.
Utilized variational methods including the mountain pass theorem and truncation techniques.
Examined the system under homogeneous Neumann boundary conditions with variable exponents.
Applied an abstract variational principle by B. Ricceri for analysis.
Established the existence of at least one nontrivial weak solution.
Proved an unbounded sequence of weak solutions under additional symmetry assumptions on nonlinearities.

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Randomized trial shows the existence of infinitely many solutions in elliptic systems, suggesting a broader application in mathematical physics.

Ahmed et al. (2026) studied this question.

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Randomized trial shows the existence of infinitely many solutions in elliptic systems, suggesting a broader application in mathematical physics.