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arXiv · 2502.15423

Lower bounds for fractional Orlicz-type eigenvalues

Ariel Salort
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Abstract

In this article, we establish precise lower bounds for the eigenvalues and critical values associated with the fractional $A-$Laplacian operator, where $A$ is a Young function. The obtained bounds are expressed in terms of the domain geometry and the growth properties of the function $A$. We emphasize that we do not assume that $A$ or its complementary function satisfies the $\Delta_2$ condition.

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Ariel Salort. 2025-02-21. Lower bounds for fractional Orlicz-type eigenvalues. https://doi.org/10.2140/pjm.2025.339.309

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