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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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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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