Periodic p-Laplacian with nonlocal terms

Qian Zhou; Yuanyuan Ke; Yifu Wang; Jingxue Yin

doi:10.1016/j.na.2005.11.038

Periodic p-Laplacian with nonlocal terms

Qian Zhou
, Yuanyuan Ke^*
, Yifu Wang
, Jingxue Yin

^*Corresponding author for this work

School of Mathematics and Statistics

Jilin University

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

In this paper we study the existence of non-trivial periodic solutions for a periodic p-Laplacian with nonlocal terms based on the theory of Leray-Schauder degree. The key step is dealing with the degeneracy of the p-Laplacian and the logistic-type terms arising in the right hand side of the equation.

Original language	English
Pages (from-to)	442-453
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	66
Issue number	2
DOIs	https://doi.org/10.1016/j.na.2005.11.038
Publication status	Published - 15 Jan 2007

Keywords

Nonlocal terms
Periodic solutions
p-Laplacian

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10.1016/j.na.2005.11.038

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title = "Periodic p-Laplacian with nonlocal terms",

abstract = "In this paper we study the existence of non-trivial periodic solutions for a periodic p-Laplacian with nonlocal terms based on the theory of Leray-Schauder degree. The key step is dealing with the degeneracy of the p-Laplacian and the logistic-type terms arising in the right hand side of the equation.",

keywords = "Nonlocal terms, Periodic solutions, p-Laplacian",

author = "Qian Zhou and Yuanyuan Ke and Yifu Wang and Jingxue Yin",

year = "2007",

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doi = "10.1016/j.na.2005.11.038",

language = "English",

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journal = "Nonlinear Analysis, Theory, Methods and Applications",

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TY - JOUR

T1 - Periodic p-Laplacian with nonlocal terms

AU - Zhou, Qian

AU - Ke, Yuanyuan

AU - Wang, Yifu

AU - Yin, Jingxue

PY - 2007/1/15

Y1 - 2007/1/15

N2 - In this paper we study the existence of non-trivial periodic solutions for a periodic p-Laplacian with nonlocal terms based on the theory of Leray-Schauder degree. The key step is dealing with the degeneracy of the p-Laplacian and the logistic-type terms arising in the right hand side of the equation.

AB - In this paper we study the existence of non-trivial periodic solutions for a periodic p-Laplacian with nonlocal terms based on the theory of Leray-Schauder degree. The key step is dealing with the degeneracy of the p-Laplacian and the logistic-type terms arising in the right hand side of the equation.

KW - Nonlocal terms

KW - Periodic solutions

KW - p-Laplacian

UR - https://www.scopus.com/pages/publications/33750973383

U2 - 10.1016/j.na.2005.11.038

DO - 10.1016/j.na.2005.11.038

M3 - Article

AN - SCOPUS:33750973383

SN - 0362-546X

VL - 66

SP - 442

EP - 453

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 2

ER -

Periodic p-Laplacian with nonlocal terms

Abstract

Keywords

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