分数阶Laplace系统周期解的多重性OA
Multiplicity of Periodic Solutions for Fractional Laplacian Systems
利用变分方法、临界点理论及截断技巧,研究一类非线性分数阶Laplace系统周期解的多重性.在非线性项满足适当的条件下,证明对任何正整数k＞0,该系统都有k对周期为T的周期解.
By using variational method,critical point theory and truncation techniques,we studied the multiplicity of periodic solutions for a class of nonlinear fractional Laplacian system.When the nonlinear term satisfies appropriate conditions,we prove that for any positive integer k＞0,the system has k pairs of periodic solutions with period T.
崔莹新;李皓晴
山西师范大学密码学与数据安全山西省重点实验室,太原 030031山西师范大学密码学与数据安全山西省重点实验室,太原 030031
数理科学
多重解周期解分数阶Laplace算子Clark定理
multiple solutionperiodic solutionfractional Laplacian operatorClark's theorem
《吉林大学学报（理学版）》 2026 (2)
208-214,7
国家自然科学基金(批准号:12301139)和山西省基础研究计划资助项目(批准号:202203021212389).
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