Nixian Liang, Li-Li Wan, Homoclinic solutions for p(t)-Laplacian Hamiltonian systems with new conditions, Vol. (2025), No. 2, pp. 1-14

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DOI: 10.23952/jnfa.2025.2

Received June 24, 2024; Accepted December 22, 2024; Published January 14, 2025

 

Abstract. The existence of homoclinic solutions is obtained for a class of p(t)-Laplacian Hamiltonian systems \frac{d}{dt}(|\dot{u}(t)|^{p(t)-2}\dot{u}(t))-a(t) |u(t)|^{p(t)-2} u(t) + \nabla W(t,u(t))=0 via variational methods, where a(t) is neither coercive nor bounded necessarily, and W(t,u) is under new super-p(t) growth conditions.

 

How to Cite this Article:
N. Liang, L.L. Wan, Homoclinic solutions for p(t)-Laplacian Hamiltonian systems with new conditions, J. Nonlinear Funct. Anal. 2025 (2025) 2.