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Commun. Korean Math. Soc. 2020; 35(2): 517-532
Online first article January 3, 2020 Printed April 30, 2020
https://doi.org/10.4134/CKMS.c190039
Copyright © The Korean Mathematical Society.
On a nonlocal problem with indefinite weights in Orlicz-Sobolev space
Mustafa Avci, Nguyen Thanh Chung
Grande Prairie Regional College; Quang Binh University
In this paper, we consider a class of nonlocal problems with indefinite weights in Orlicz-Sobolev space. Under some suitable conditions on the nonlinearities, we establish some existence results using variational techniques and Ekeland's variational principle.
Keywords: Nonlocal problems, indefinite weight, Orlicz-Sobolev space, variable exponent, variational methods
MSC numbers: 46B50, 46E35, 35J60
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