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Ground state solutions for two classes of fractional Hamiltonian systems | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 26 فروردین 1405 اصل مقاله (430.59 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.28026.3784 | ||
| نویسنده | ||
| Mohsen Timoumi* | ||
| Dpt of Mathematics, Faculty of Sciences of Monastir, 5000 Monastir, Tunisia | ||
| تاریخ دریافت: 15 مرداد 1401، تاریخ بازنگری: 22 خرداد 1402، تاریخ پذیرش: 27 بهمن 1403 | ||
| چکیده | ||
| In this paper, we are concerned with the following periodic fractional Hamiltonian system $$\left\{ \begin{array}{l} _{t}D_{\infty}^{\alpha}(_{-\infty}D_{t}^{\alpha}u)(t)+L(t)u(t)=\nabla W(t,u(t)),\ t\in\mathbb{R}\\ u\in H^{\alpha}(\mathbb{R}). \end{array}\right.$$ Using variational methods and a version of the concentration compactness principle, we study the existence of ground state solutions for this system under two different classes of superquadratic conditions weaker than the ones known in the literature. To the best of our knowledge, there has been no work focused in this case. | ||
| کلیدواژهها | ||
| Fractional Hamiltonian systems؛ ground state orbits؛ periodic potentials؛ variational methods؛ concentration compactness principle | ||
| مراجع | ||
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