One-dimensional nonlinear Laplacians under a 3-point boundary condition

Calvert, Bruce D.
September 2010
Acta Mathematica Sinica;Sep2010, Vol. 26 Issue 9, p1641
Academic Journal
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 order-preserving, 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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