Investigates weak solutions of non-local elliptic systems in fractional Orlicz–Sobolev spaces, suggesting new solutions exist.
The purpose of this paper is to investigate the existence of a weak solution to a non-local elliptic system, driven by the fractional [Formula: see text]-Laplacian operator in fractional Orlicz–Sobolev space that may be non-reflexive. The non-reflexive case occurs when the Orlicz function [Formula: see text] does not verify the [Formula: see text]-condition.
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El‐Houari et al. (2023) studied this question.
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