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

Autor:	Bruce Calvert
Rok vydání:	2010
Předmět:	Nonlinear system Applied Mathematics General Mathematics Mathematical analysis Neumann boundary condition Inverse Function (mathematics) Mixed boundary condition Boundary value problem Space (mathematics) Robin boundary condition Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 26:1641-1652
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-010-7285-6
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::70a6204f6ddeb3d0f83973d390f195bd https://doi.org/10.1007/s10114-010-7285-6 Zobrazit plný text záznamu Plný text ve formátu PDF