Chan-Gyun Kim, Eun Kyoung Lee
Abstract:
In this article, we consider nonlocal p-Laplacian boundary-value problems
with integral boundary conditions and a non-negative real-valued boundary
condition as a parameter. The main purpose is to study the existence,
nonexistence and multiplicity of positive solutions as the boundary parameter
varies. Moreover, we prove a sub-super solution theorem, using fixed point
index theorems.
Submitted February 22, 2016. Published May 19, 2016.
Math Subject Classifications: 35J25, 34B10, 34B16, 35J92.
Key Words: p-Laplacian; nonlocal boundary condition; sub-supersolution;
multiplicity.
Show me the PDF file (301 KB), TEX file for this article.
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Chan-Gyun Kim Department of Mathematics and Education Pusan National University Busan 609-735, Korea email: cgkim75@gmail.com |
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Eun Kyoung Lee Department of Mathematics and Education Pusan National University Busan 609-735, Korea email: eklee@pusan.ac.kr Phone +82-10-9448-7848, Fax +82-51-512-0452 |
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