On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator
Analysis of PDEs
2025-06-03 v1
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.
Keywords
Cite
@article{arxiv.2501.14560,
title = {On the linear independence condition for the Bobkov-Tanaka first eigenvalue of the double-phase operator},
author = {Nirjan Biswas and Laura Gambera and Umberto Guarnotta},
journal= {arXiv preprint arXiv:2501.14560},
year = {2025}
}