PERIODIC SOLUTIONS FOR 1-DIMENSIONAL <i>P</i>-SUPERLINEAR LAPLACIAN EQUATION

Xuelei Wang; Wencheng Chen

doi:10.11948/20210366

2022 Volume 12 Issue 4

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Xuelei Wang, Wencheng Chen. PERIODIC SOLUTIONS FOR 1-DIMENSIONAL P-SUPERLINEAR LAPLACIAN EQUATION[J]. Journal of Applied Analysis & Computation, 2022, 12(4): 1567-1578. doi: 10.11948/20210366

Citation:

Xuelei Wang, Wencheng Chen. PERIODIC SOLUTIONS FOR 1-DIMENSIONAL P-SUPERLINEAR LAPLACIAN EQUATION[J]. Journal of Applied Analysis & Computation, 2022, 12(4): 1567-1578. doi: 10.11948/20210366

PERIODIC SOLUTIONS FOR 1-DIMENSIONAL P-SUPERLINEAR LAPLACIAN EQUATION

Xuelei Wang¹,
Wencheng Chen^1, ,

1.
College of Information Science and Engineering, Shandong Agricultural University, Daizong Street, 271018 Tai'an, China

Corresponding author: Email address: 18862106107@163.com(W. Chen)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 11671382, 11671287)

Abstract

Abstract

Existence and multiplicity of periodic solutions for 1-dimensional $ p $-Laplacian equation with partial $ p $-superlinear are proved. Proofs are based on a geometric approach and the Poincaré-Birkhoff twist theorem. Result generalizes the classical results of Jacobowitz and Hartman.
- Hamiltonian systems /
- p-Superlinear Laplacian equation /
- periodic solution /
- Poincaré-Birkhoff twist theorem
MSC: 34C15, 34C25, 34B30, 47H15

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References

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