Document Type
Article
Department/Program
Mathematics
Journal Title
Electronic Journal of Differential Equations
Pub Date
2012
Abstract
A p-Laplacian boundary-value problem with positive nonlinearity is considered. The existence of a continuum of positive solutions emanating from (lambda, u) = (0, 0) is shown, and it can be extended to lambda = infinity. Under an additional condition on the nonlinearity, it is shown that the positive solution is unique for any lambda > 0; thus the continuum C is indeed a continuous curve globally defined for all lambda > 0. In addition, by the upper and lower solutions method, existence of three positive solutions is established under some conditions on the nonlinearity.
Recommended Citation
Kim, Chan-Gyun; Shi, Junping; and Shi, Junping, Global Continuum and Multiple Positive Solutions to a P-Laplacian Boundary-Value Problem (2012). Electronic Journal of Differential Equations.
https://scholarworks.wm.edu/aspubs/1542
