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Journals / Turkish Journal of Mathematics / 2010 / Cilt: 34 - Sayı: 2

The principal eigencurves for a nonselfadjoint elliptic operator

Aomar ANANE, Omar CHAKRONE, Abdellah ZEROUALI

Pages
197–205
DOI
—

Abstract

In this paper we study the existence of the principal eigencurves for a nonselfadjoint elliptic operator. We obtain their variational formulation. We establish also the continuity and the differentiability of the principal eigencurves.

Özet

In this paper we study the existence of the principal eigencurves for a nonselfadjoint elliptic operator. We obtain their variational formulation. We establish also the continuity and the differentiability of the principal eigencurves.

Keywords: Nonsefadjoint elliptic operator, principl eigenvalue, principl eigencurve, Holland's formula.