An eigenvalue problem involving a degenerate and singular elliptic operator

zbMATH Open1230.35078arXiv1603.05039MaRDI QIDQ657665

M. Mihăilescu, Dušan Repovš

Publication date: 10 January 2012

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Abstract: We study an eigenvalue problem involving a degenerate and singular elliptic operator on the whole space $mathbb{R}^N$. 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.

Full work available at URL: https://arxiv.org/abs/1603.05039

zbMATH Keywords

eigenvalue problemCaffarelli-Kohn-Nirenberg inequalitydegenerate and singular elliptic operator

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Variational methods for second-order elliptic equations (35J20)

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