English

An eigenvalue problem involving a degenerate and singular elliptic operator

Analysis of PDEs 2016-03-17 v1

Abstract

We study an eigenvalue problem involving a degenerate and singular elliptic operator on the whole space RN\mathbb{R}^N. We prove the existence of an unbounded and increasing sequence of eigenvalues. Our study generalizes to the case of degenerate and singular operators a result of A. Szulkin and M. Willem.

Keywords

Cite

@article{arxiv.1603.05039,
  title  = {An eigenvalue problem involving a degenerate and singular elliptic operator},
  author = {Mihai Mihăilescu and Dušan Repovš},
  journal= {arXiv preprint arXiv:1603.05039},
  year   = {2016}
}
R2 v1 2026-06-22T13:12:10.176Z