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

页码：533 / 551

页数：19

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