Finiteness of lower spectra of a class of higher order elliptic operators

Walter Allegretto

Vol. 83 (1979), No. 2, 303–309

DOI: 10.2140/pjm.1979.83.303

Abstract

Finiteness criteria are established for the lower spectrum of a class of higher order elliptic operators. The results are obtained by the introduction and consideration of a suitable second order operator. Examples are given to show that the method can yield optimal results.

Mathematical Subject Classification 2000

Primary: 35P05

Secondary: 35J30, 81F99

Milestones

Received: 21 August 1978

Revised: 15 February 1979

Published: 1 August 1979