Eigenvalues below the essential spectra of singular elliptic operators

Academic Article


  • A new technique is developed for determining if the number of eigenvalues below the essential spectrum of a singular elliptic differential operator is finite. A method is given for establishing lower bounds for the least point of the essential spectrum in terms of the behavior of the coefficients and weight near the singularities. Higher-order operators are included in these results as well as second-order Schrodinger operators. © 1986 American Mathematical Society.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Lewis RT; Evans WD
  • Start Page

  • 197
  • End Page

  • 222
  • Volume

  • 297
  • Issue

  • 1