One-dimensional Elliptic Equation with Concave and Convex Nonlinearities
Date
2000-06-25
Authors
Sanchez, Justino
Ubilla, Pedro
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We establish the exact number of positive solutions for the boundary-value problem
-(|u'|m-2u')' = λuq + up in (0,1)
u(0) = u(1) = 0,
where 0 ≤ q < m - 1 < p and λ is positive.
Description
Keywords
m-Laplacian, Concave-convex nonlinearities, Exactness results, Time-maps
Citation
Sanchez, J., & Ubilla, P. (2000). One-dimensional elliptic equation with concave and convex nonlinearities. <i>Electronic Journal of Differential Equations, 2000</i>(50), pp. 1-9.
Rights
Attribution 4.0 International