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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 2
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Research Article

On nonlinear perturbations of a periodic integrodifferential equation with critical exponential growth

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Pages 552-575 | Received 16 Nov 2020, Accepted 18 Jul 2021, Published online: 30 Jul 2021
 

Abstract

In this paper, we study the existence of solutions for integrodifferential Schrödinger equations of the form LKu+V(x)u=f(x,u)in R,where LK is a nonlocal operator with a measurable kernel which satisfies ‘structural properties’, more general than the standard kernel of fractional Laplacian operator, V is a bounded potential, and the nonlinear term f(x,u) has critical exponential growth with respect to the Trudinger–Moser inequality.

2010 Mathematics Subject Classifications:

Acknowledgement

The authors would like to thank Professor Manassés Xavier de Souza for his most valuable comments and suggestions in the preparation of this paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

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