Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842302 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 10 Pages |
Abstract
This paper is concerned with the existence of positive solutions of pp-Laplacian dynamic equation (φp(uΔ(t)))∇+a1(t)f(u(t))=0(φp(uΔ(t)))∇+a1(t)f(u(t))=0 subject to boundary conditions u(0)−B0(∑i=1m−2aiuΔ(ξi))=0,uΔ(T)=0 or uΔ(0)=0,u(T)+B1(∑i=1m−2biuΔ(ξi))=0, where φp(v)=|v|p−2vφp(v)=|v|p−2v with p>1p>1. By using the five functionals fixed-point theorem, we prove that the boundary value problem has at least three positive solutions. As an application, an example is given to illustrate the result.
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Authors
You-Hui Su, Wan-Tong Li,