Electron. J. Diff. Equ., Vol. 2016 (2016), No. 127, pp. 1-18.

Existence and multiplicity of positive radial solutions to nonlocal boundary-value problems in exterior domains

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.

Chan-Gyun Kim
Department of Mathematics and Education
Pusan National University
Busan 609-735, Korea
email: cgkim75@gmail.com
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

Return to the EJDE web page