Periodic solutions for a class of degenerate parabolic equations with Neumann boundary conditions

Yifu Wang; Jingxue Yin

doi:10.1016/j.nonrwa.2010.12.022

Periodic solutions for a class of degenerate parabolic equations with Neumann boundary conditions

Yifu Wang^*, Jingxue Yin

^*Corresponding author for this work

School of Mathematics and Statistics

South China Normal University

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

11 Citations (Scopus)

Abstract

In this paper, we investigate a class of degenerate parabolic periodic equations with nonlocal terms under Neumann boundary conditions. By using the theory of the Leray-Schauder degree, we obtain the existence of non-trivial nonnegative periodic solutions.

Original language	English
Pages (from-to)	2069-2076
Number of pages	8
Journal	Nonlinear Analysis: Real World Applications
Volume	12
Issue number	4
DOIs	https://doi.org/10.1016/j.nonrwa.2010.12.022
Publication status	Published - Aug 2011

Keywords

Degenerate equation
Leray-Schauder degree
Moser iteration
Periodic solutions

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10.1016/j.nonrwa.2010.12.022

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title = "Periodic solutions for a class of degenerate parabolic equations with Neumann boundary conditions",

abstract = "In this paper, we investigate a class of degenerate parabolic periodic equations with nonlocal terms under Neumann boundary conditions. By using the theory of the Leray-Schauder degree, we obtain the existence of non-trivial nonnegative periodic solutions.",

keywords = "Degenerate equation, Leray-Schauder degree, Moser iteration, Periodic solutions",

author = "Yifu Wang and Jingxue Yin",

year = "2011",

month = aug,

doi = "10.1016/j.nonrwa.2010.12.022",

language = "English",

volume = "12",

pages = "2069--2076",

journal = "Nonlinear Analysis: Real World Applications",

issn = "1468-1218",

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T1 - Periodic solutions for a class of degenerate parabolic equations with Neumann boundary conditions

AU - Wang, Yifu

AU - Yin, Jingxue

PY - 2011/8

Y1 - 2011/8

N2 - In this paper, we investigate a class of degenerate parabolic periodic equations with nonlocal terms under Neumann boundary conditions. By using the theory of the Leray-Schauder degree, we obtain the existence of non-trivial nonnegative periodic solutions.

AB - In this paper, we investigate a class of degenerate parabolic periodic equations with nonlocal terms under Neumann boundary conditions. By using the theory of the Leray-Schauder degree, we obtain the existence of non-trivial nonnegative periodic solutions.

KW - Degenerate equation

KW - Leray-Schauder degree

KW - Moser iteration

KW - Periodic solutions

UR - http://www.scopus.com/inward/record.url?scp=79955523868&partnerID=8YFLogxK

U2 - 10.1016/j.nonrwa.2010.12.022

DO - 10.1016/j.nonrwa.2010.12.022

M3 - Article

AN - SCOPUS:79955523868

SN - 1468-1218

VL - 12

SP - 2069

EP - 2076

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 4

ER -

Periodic solutions for a class of degenerate parabolic equations with Neumann boundary conditions

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Keywords

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