Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2017; 54(3): 715-729

Online first article March 20, 2017      Printed May 31, 2017

https://doi.org/10.4134/BKMS.b150489

Copyright © The Korean Mathematical Society.

Multiplicity of solutions for a class of non-local elliptic operators systems

Chuanzhi Bai

Huaiyin Normal University

Abstract

In this paper, we investigate the existence and multiplicity of solutions for systems driven by two non-local integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tools are the Saddle point theorem, Ekeland's variational principle and the Mountain pass theorem.

Keywords: integrodifferential operators, saddle point theorem, Ekeland's variational principle, Mountain pass theorem

MSC numbers: 35S15, 35B30, 35B40