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The first eigenvalue of pLaplaciansystems with nonlinear boundary conditions

Kandylakis Dimitrios, Magiropoulos M., Zographopoulos N.B

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URI: http://purl.tuc.gr/dl/dias/69EAD1CA-1412-4986-8FF0-2BF03F2A29AB
Year 2005
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation D.A. Kandilakis, M. Magiropoulos - N.B. Zografopoulos, "The first eigenvalue of pLaplacian systems with nonlinear boundary conditions," Boundary Value Problems, pp. 307-322, 2005.
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Summary

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

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