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Existence of infinitely many homoclinic solutions for a class of p-Laplacian Hamiltonian systems

In this paper, we introduce a general and weak sufficient condition that guarantees the existence of infinitely many homoclinic solutions for a class of p-Laplacian Hamiltonian systems. Our findings are… Click to show full abstract

In this paper, we introduce a general and weak sufficient condition that guarantees the existence of infinitely many homoclinic solutions for a class of p-Laplacian Hamiltonian systems. Our findings are established using a new symmetric mountain pass theorem developed by Kajikia. We extend and refine several recent results from the literature and provide examples to demonstrate our key theoretical contributions.

Keywords: homoclinic solutions; infinitely many; existence infinitely; class laplacian; many homoclinic; solutions class

Journal Title: Filomat
Year Published: 2024

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