Vol. 83, No. 2, 1979

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

Walter Allegretto

Vol. 83 (1979), No. 2, 303–309
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
Authors
Walter Allegretto