A monotone iterative scheme for a nonlinear second order equation based on a generalized anti–maximum principle

Mathematische Nachrichten - Tập 251 Số 1 - Trang 101-107 - 2003
Pedro J. Torres1, Meirong Zhang2,3
1Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain
2Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People’s Republic of China
3Phone: +86 10 62772863,

Tóm tắt

AbstractIn 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 Lp norms of the growth, 1 ≤ p ≤ ∞, while the usual one is just the case p = ∞.

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