Lower bounds for fractional Orlicz-type eigenvalues

2025/02/21 by Salort, Ariel
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.15423

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 Δ₂ condition.

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