Existence and multiplicity of solutions for subquadratic fractional Hamiltonian systems

被引：0

作者：

Mohsen Timoumi ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Sciences, Monastir

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2025年 / 74卷 / 4期

关键词：

Clark’s theorem; Fractional Hamiltonian systems; Minimization theorem; Variational methods;

D O I：

10.1007/s12215-025-01232-6

中图分类号：

学科分类号：

摘要：

In this article we are concerned in the existence and multiplicity of solutions for the following fractional Hamiltonian system (Formula presented.) where -∞Dtα and tD∞α are left and right Liouville–Weyl fractional derivatives of order α∈]12,1[ on the whole axis R respectively, L∈C(R,RN2) is a symmetric matrix-valued function and W∈C1(R×RN,R) is of subquadratic growth at infinity. Using variational methods, the minimization theorem and generalized Clark’s theorem, some results extending and improving recent results in the literature are obtained. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2025.

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