paper

On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator

arXiv:2501.14560 · doi:10.1016/j.aml.2025.109549

Abstract

The paper investigates a pivotal condition for the Bobkov-Tanaka type spectrum for double-phase operators. This condition is satisfied if either the weight driving the double-phase operator is strictly positive in the whole domain or the domain is convex and fulfils a suitable symmetry condition.

On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator · wovepaper