Existence of nonnegative nontrivial periodic solutions to a doubly degenerate parabolic equation with variable exponent
College of Mathematics, Jilin University, Changchun, 130012, PR China
Boundary Value Problems 2014, 2014:77 doi:10.1186/1687-2770-2014-77Published: 2 April 2014
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.