학술논문
Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional p-Laplacian
Document Type
Text
Author
Source
Mathematica bohemica | 2011 Volume:136 | Number:2
Subject
Language
English
Abstract
We consider the boundary value problem involving the one dimensional pLaplacian, and establish the precise intervals of the parameter for the existence and nonexistence of solutions with prescribed numbers of zeros. Our argument is based on the shooting method together with the qualitative theory for half-linear differential equations.