Estimates on the Lower Bound of the First Gap

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We give a new lower bound for the first gap $λ_2 - λ_1$ of the Dirichlet eigenvalues of the Schr{ö}dinger operator on a bounded convex domain $Ω$ in R$^n$ or S$^n$ and greatly sharpens the previous estimates. The new bound is explicit and computable.
enhanced results, 26 pages

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Differential Geometry, Mathematical Physics, Analysis of PDEs, Primary 35J10; Secondary 35P15, 53C21

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http://salesiana.dossiersoluciones.com/handle/123456789/70943

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404418
 http://arxiv.org/abs/math/0404418

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arXiv