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.

DOI

10.3906/mat-0902-25

Keywords

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

First Page

197

Last Page

206

Recommended Citation

ANANE, A, CHAKRONE, O, & ZEROUALI, A (2010). The principal eigencurves for a nonselfadjoint elliptic operator. Turkish Journal of Mathematics 34 (2): 197-206. https://doi.org/10.3906/mat-0902-25

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