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

Boundary value problems

Zhongqing Li¹  Wenjie Gao¹ 

[1] College of Mathematics, Jilin University, Changchun, PR China

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

DOI  :  10.1186/1687-2770-2014-77

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY