刊名:Calculus of Variations and Partial Differential Equations
出版年:2017
出版时间:February 2017
年:2017
卷:56
期:1
全文大小:
刊物类别:Mathematics and Statistics
刊物主题:Analysis; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Theoretical, Mathematical and Computational Physics;
出版者:Springer Berlin Heidelberg
ISSN:1432-0835
卷排序:56
文摘
In this paper we analyse an elliptic equation that combines linear and nonlinear fast diffusion with a logistic type reaction function. We prove existence and non-existence results of positive solutions using bifurcation theory and sub-supersolution method. Moreover, we apply variational methods to obtain a pair of ordered positive solutions.