The gaps in the spectrum of the Schrödinger operator

• Autorzy: Haizhong Li , Linlin Su
• Języki publikacji: EN

Abstrakty

EN

We obtain inequalities between the eigenvalues of the Schrödinger operator on a compact domain Ω of a submanifold M in $R^{N}$ with boundary ∂Ω, which generalize many existing inequalities for the Laplacian on a bounded domain of a Euclidean space. We also establish similar inequalities for a closed minimal submanifold in the unit sphere, which generalize and improve Yang-Yau's result.

Kategorie tematyczne

• 35P15: Estimation of eigenvalues, upper and lower bounds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 69
• Numer: 1
• Strony: 91-102

Daty

wydano

2005

Twórcy

autor

Haizhong Li

• Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People's Republic of China

autor

Linlin Su

• Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People's Republic of China

Identyfikatory

DOI

10.4064/bc69-0-5