English

Attainability and criticality for multipolar Rellich inequality

Analysis of PDEs 2024-06-26 v1

Abstract

In this paper we obtain optimal multipolar Rellich inequality for biharmonic Schrodinger operator with positive multi-singular potentials. Moreover, we prove the attainability of the best constant and the criticality of the biharmonic Schrodinger operator.

Keywords

Cite

@article{arxiv.2406.17350,
  title  = {Attainability and criticality for multipolar Rellich inequality},
  author = {Yongyang Jin and Shoufeng Shen and Li Tang},
  journal= {arXiv preprint arXiv:2406.17350},
  year   = {2024}
}
R2 v1 2026-06-28T17:18:21.800Z