EXISTENCE ON GROUND STATE ROTATING PERIODIC SOLUTIONS FOR A CLASS OF $P$-HAMILTONIAN SYSTEMS

Tai-Jin Zhao; Chun Li

doi:10.11948/20240450

2025 Volume 15 Issue 4

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Tai-Jin Zhao, Chun Li. EXISTENCE ON GROUND STATE ROTATING PERIODIC SOLUTIONS FOR A CLASS OF $P$-HAMILTONIAN SYSTEMS[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 2327-2339. doi: 10.11948/20240450

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Tai-Jin Zhao, Chun Li. EXISTENCE ON GROUND STATE ROTATING PERIODIC SOLUTIONS FOR A CLASS OF $P$-HAMILTONIAN SYSTEMS[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 2327-2339. doi: 10.11948/20240450

EXISTENCE ON GROUND STATE ROTATING PERIODIC SOLUTIONS FOR A CLASS OF $P$-HAMILTONIAN SYSTEMS

Tai-Jin Zhao,
Chun Li^,

School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

Author Bio: Email: ztjztj102266@email.swu.edu.cn(T.-J. Zhao)
Corresponding author: Email: Lch1999@swu.edu.cn(C. Li)

Abstract

Abstract

In this paper, we investigate the existence of ground state rotating periodic solutions for a class of $p$-Hamiltonian systems by variational methods in critical point theory.
- Rotating periodic solutions /
- ground state solutions /
- p-Hamiltonian systems /
- (C) condition /
- mountain pass lemma
MSC: 34A34, 34C25, 35A15, 35B38

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References

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