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Open Access Research

Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent

Zhongqing Li* and Wenjie Gao

Author Affiliations

College of Mathematics, Jilin University, Changchun, 130012, PR China

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Boundary Value Problems 2014, 2014:77  doi:10.1186/1687-2770-2014-77

Published: 2 April 2014

Abstract

The authors investigate a degenerate parabolic equation with delay and nonlocal term, which describes slow diffusive processes in physics or biology. The existence of a nonnegative nontrivial periodic solution is obtained through the use of the Leray-Schauder degree method.

MSC: 35D05, 35K55.

Keywords:
degenerate parabolic equation; periodic solution; variable exponent; topological degree; De Giorgi iteration