Periodic doubly degenerate parabolic equation with nonlocal terms

This paper is a remark on Gao and Wang (2007) [4]. Under some weaker conditions than [4], we establish the existence of nontrivial nonnegative periodic solutions for a doubly degenerate parabolic equation with nonlocal terms. The key is the use of De Giorgi iteration technique and the theory of Leray–Schauder degree.