One-dimensional Elliptic Equation with Concave and Convex Nonlinearities

Sanchez, Justino; Ubilla, Pedro

Date

2000-06-25

Author

Sanchez, Justino

Ubilla, Pedro

Metadata

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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.

Citation

Sanchez, J., & Ubilla, P. (2000). One-dimensional elliptic equation with concave and convex nonlinearities. Electronic Journal of Differential Equations, 2000(50), pp. 1-9.