✦ LIBER ✦
A monotone iterative scheme for a nonlinear second order equation based on a generalized anti–maximum principle
✍ Scribed by Pedro J. Torres; Meirong Zhang
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 129 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this paper, a generalized anti–maximum principle for the second order differential operator with potentials is proved. As an application, we will give a monotone iterative scheme for periodic solutions of nonlinear second order equations. Such a scheme involves the L^p^ norms of the growth, 1 ≤ p ≤ ∞, while the usual one is just the case p = ∞.