Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2012; 49(6): 1213-1222

Printed November 30, 2012

https://doi.org/10.4134/BKMS.2012.49.6.1213

Copyright © The Korean Mathematical Society.

Existence of three solutions for a mixed boundary value problem with the Sturm-Liouville equation

Diego Averna, Nicol\'o Giovannelli, and Elisabetta Tornatore

Universit\`a degli Studi di Palermo, Universit\`a degli Studi di Palermo Viale delle Scienze, Universit\`a degli Studi di Palermo

Abstract

The aim of this paper is to establish the existence of three solutions for a Sturm-Liouville mixed boundary value problem. The approach is based on multiple critical points theorems.

Keywords: boundary value problem, mixed conditions

MSC numbers: 34B15