Existence of Three Positive Solutions to Some $p$-Laplacian Boundary Value Problems

Abstract

We obtain, by using the Leggett-Williams fixed point theorem, sufficient conditions that ensure the existence of at least three positive solutions to some $p$-Laplacian boundary value problems on time scales.

This is a preprint of a paper whose final and definite form will be published in Discrete Dynamics in Nature and Society. Submitted 24-March-2012; revised 05-Aug-2012; accepted 19-Oct-2012

References in corpus (5)

• Analysis of a mathematical model for interactions between T cells and macrophages
• The diamond-alpha Riemann integral and mean value theorems on time scales
• Generalizing the variational theory on time scales to include the delta indefinite integral
• Existence of Positive Solutions for Non Local p-Laplacian Thermistor Problems on Time Scales
• Existence of Infinitely Many Solutions for a Quasilinear Elliptic Problem on Time Scales

Cited by in corpus (1)

• Existence and uniqueness results for a fractional Riemann-Liouville nonlocal thermistor problem on arbitrary time scales