Harrell, E. M. II General bounds for the eigenvalues of Schrödinger operators. (English) Zbl 0678.35075 Maximum principles and eigenvalue problems in partial differential equations, Proc. Conf., Knoxville/Tenn. 1987, Pitman Res. Notes Math. Ser. 175, 146-166 (1988). [For the entire collection see Zbl 0643.00013.] This paper concerns estimate for difference of two consecutive eigenvalues for Schrödinger operators with Dirichlet boundary condition on a domain of \(R^ n\), extending the Payne-Polya-Weinberger inequality. Reviewer: R.Didier Cited in 4 Documents MSC: 35P15 Estimates of eigenvalues in context of PDEs 35J10 Schrödinger operator, Schrödinger equation Keywords:estimate for difference; consecutive eigenvalues; Schrödinger operators; Dirichlet boundary condition; Payne-Polya-Weinberger inequality Citations:Zbl 0643.00013 PDFBibTeX XML