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The first eigenvalue of-Laplacian systems with nonlinear boundary conditions

Abstract

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.

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Correspondence to DA Kandilakis.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kandilakis, D., Magiropoulos, M. & Zographopoulos, N. The first eigenvalue of-Laplacian systems with nonlinear boundary conditions. Bound Value Probl 2005, 251350 (2005). https://doi.org/10.1155/BVP.2005.307

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  • DOI: https://doi.org/10.1155/BVP.2005.307