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One-Dimensional Nonlinear Laplacians under a 3-Point Boundary Condition

One-Dimensional Nonlinear Laplacians under a 3-Point Boundary Condition
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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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第9期1641-1652,共12页 数学学报(英文版)
关键词 Boundary value problems nonlinear o.d.e.s P-LAPLACIAN three-point boundary value problem m-dissipative Boundary value problems, nonlinear o.d.e.s, p-Laplacian, three-point boundary value problem, m-dissipative
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