We deal with the existence and uniqueness of positive solutions to a class of nonlinear parabolic partial differential equations, by using some fixed point theorems for mixed monotone operators with perturbation.
Chengbo Zhai. Shunyong Li. "Positive Solutions of a Nonlinear Parabolic Partial Differential Equation." Abstr. Appl. Anal. 2014 (SI13) 1 - 6, 2014. https://doi.org/10.1155/2014/643897