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January 1, 2026Electronic journal of qualitative theory of differential equationsOpen Access

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

Eudes Mendes Barboza Olı́mpio H. Miyagaki

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Key Points

The study aims to explore the existence of solutions for nonlinear integrodifferential Stein-Weiss equations with critical growth conditions.
Examined integrodifferential equations shaped by a nonlocal operator with a specific measurable kernel.
Incorporated critical exponential growth from the Trudinger–Moser inequality.
Analyzed operator conditions to ensure the existence of solutions.
Demonstrated existence of solutions under specified parameters μ and β with structural properties.
Identified bounded potential V that can change sign, impacting solution behavior.
Found conditions for a nonlocal operator that enable solution stability.

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Implication

Research investigates solution existence for integro-differential equations with nonlinear factors, indicating complex growth behaviors.

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Cite This Study

Barboza et al. (2026) studied this question.

synapsesocial.com/papers/6a363172db0793dc1a53862d https://doi.org/10.14232/ejqtde.2026.1.12

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