Open Access

The first eigenvalue of -Laplacian systems with nonlinear boundary conditions

Boundary Value Problems20052005:251350

Received: 12 October 2004

Published: 13 November 2005


We study the properties of the positive principal eigenvalue and the corresponding eigenspaces of two quasilinear elliptic systems under nonlinear boundary conditions. We prove that this eigenvalue is simple, unique up to positive eigenfunctions for both systems, and isolated for one of them.

Authors’ Affiliations

Department of Sciences, Technical University of Crete
Science Department, Technological and Educational Institute of Crete
Department of Applied Mathematics, University of Crete


© Kandilakis et al. 2005