Minimization of eigenvalues for some differential equations with integrable potentials
School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
Boundary Value Problems 2013, 2013:220 doi:10.1186/1687-2770-2013-220Published: 7 November 2013
In this paper we use the limiting approach to solve the minimization problem of the Dirichlet eigenvalues of Sturm-Liouville equations when the norm of integrable potentials is given. The construction of an approximating problem in this paper can simplify the analysis in the limiting process.
MSC: 34L15, 34L40.