INFINITELY MANY PERIODIC SOLUTIONS FOR ANISOTROPIC Φ-LAPLACIAN SYSTEMS

被引：0
|
作者：
Acinas, Sonia [1 ]
Mazzone, Fernando [2 ]
机构：
[1] Univ Nacl La Pampa, Fac Ciencias Exactas & Nat, Dept Matemat, Ave Uruguay 151 L6300CLB, RA-6300 Santa Rosa, La Pampa, Argentina
[2] Univ Nacl Rio Cuarto, Fac Ciencias Exactas Fis Quim & Nat, Dept Matemat, Ruta Nac 36 Km 601 5800, RA-5800 Cordoba, Argentina
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2022年 / 14卷 / 04期
关键词：
Periodic solutions; critical point; minimax; anisotropic; NONAUTONOMOUS 2ND-ORDER SYSTEMS; DIFFERENTIAL-SYSTEMS; (Q; EXISTENCE;
D O I：
10.7153/dea-2022-14-36
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study existence of periodic solutions for an anisotropic differential operator via the minimax methods in critical point theory. Concretely, we consider a phi-Laplacian operator and we extend and generalize known results obtained in the isotropic setting given by a p-Laplacian system. Moreover, our results when applied to p-Laplacian system improve the ones known in the literature nowadays.
引用
收藏
页码：533 / 551
页数：19
相关论文
共 50 条
  • [21] INFINITELY MANY SOLUTIONS FOR (p(x), q(x))-LAPLACIAN-LIKE SYSTEMS
    Heidari, Samira
    Razani, Abdolrahman
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 36 (01): : 51 - 62
  • [22] On the existence of infinitely many periodic solutions for second-order ordinary p-Laplacian system
    Zhang, Qiongfen
    Tang, X. H.
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2012, 19 (01) : 121 - 136
  • [23] Infinitely many periodic solutions for subquadratic second-order Hamiltonian systems
    Gu, Hua
    An, Tianqing
    BOUNDARY VALUE PROBLEMS, 2013,
  • [24] Infinitely many periodic solutions for subquadratic second-order Hamiltonian systems
    Hua Gu
    Tianqing An
    Boundary Value Problems, 2013
  • [25] Infinitely many periodic solutions for a class of second-order Hamiltonian systems
    Ming-hai Yang
    Yue-fen Chen
    Yan-fang Xue
    Acta Mathematicae Applicatae Sinica, English Series, 2016, 32 : 231 - 238
  • [26] Infinitely Many Periodic Solutions for a Class of Second-order Hamiltonian Systems
    Yang, Ming-hai
    Chen, Yue-fen
    Xue, Yan-fang
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2016, 32 (01): : 231 - 238
  • [27] EXISTENCE OF INFINITELY MANY PERIODIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS
    Gu, Hua
    An, Tianqing
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [28] Infinitely many geometrically distinct solutions for periodic Schrödinger–Poisson systems
    Jing Chen
    Ning Zhang
    Boundary Value Problems, 2019
  • [29] Infinitely Many Rotating Periodic Solutions for Second-Order Hamiltonian Systems
    Liu, Guanggang
    Li, Yong
    Yang, Xue
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2019, 25 (02) : 159 - 174
  • [30] Infinitely Many Periodic Solutions for a Class of Second-order Hamiltonian Systems
    Ming-hai YANG
    Yue-fen CHEN
    Yan-fang XUE
    Acta Mathematicae Applicatae Sinica, 2016, 32 (01) : 231 - 238
12345