English

Continuous spectrum for a double-phase unbalanced growth eigenvalue problem

Analysis of PDEs 2023-02-22 v1

Abstract

We consider an eigenvalue problem for a double-phase differential operator with unbalanced growth. Using the Nehari method, we show that the problem has a continuous spectrum determined by the minimal eigenvalue of the weighted p-Laplacian.

Keywords

Cite

@article{arxiv.2302.10475,
  title  = {Continuous spectrum for a double-phase unbalanced growth eigenvalue problem},
  author = {Laura Gambera and Umberto Guarnotta and Nikolaos S. Papageorgiou},
  journal= {arXiv preprint arXiv:2302.10475},
  year   = {2023}
}
R2 v1 2026-06-28T08:45:17.510Z