One-Dimensional Nonlinear Laplacians under a 3-Point Boundary Condition
One-Dimensional Nonlinear Laplacians under a 3-Point Boundary Condition作者机构：Department of Mathematics University of Auckland
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)
年 卷 期：2010年第26卷第9期
页 面：1641-1652页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：Boundary value problems nonlinear o.d.e.s p-Laplacian three-point boundary value problem m-dissipative
摘 要：We consider a three-point boundary value problem for operators such as the one-dimensional p-Laplacian, and show when they have solutions or not, and how many. The inverse operators are given by various formulas involving zeros of a real-valued function. They are shown to be orderpreserving, for some parameter values, and non-singleton valued for others. The operators are shown to be m-dissipative in the space of continuous functions.
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