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Some multipoint boundary value problems of Neumann-Dirichlet type involving a multipoint p-Laplace like operator |
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| Authors: | M García-Huidobro |
| Institution: | a Departamento de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile b Department of Mathematics, 084, University of Nevada, Reno, NV 89557, USA c Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, Universidad de Chile, Casilla 170, Correo 3, Santiago, Chile |
| Abstract: | Let ? and θ be two increasing homeomorphisms from R onto R with ?(0)=0, θ(0)=0. Let  be a function satisfying Carathéodory's conditions, and for each i, i=1,2,…,m−2, let  , be a continuous function, with  , ξi∈(0,1), 0<ξ1<ξ2<?<ξm−2<1.In this paper we first prove a suitable continuation lemma of Leray-Schauder type which we use to obtain several existence results for the m-point boundary value problem: |
| Keywords: | Multipoint Nonlinear BVP p-Laplace like Leray-Schauder Continuation lemmas |
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