Principal Eigenvalues for Generalised Indefinite Robin Problems |
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Authors: | Daniel Daners |
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Institution: | 1. School of Mathematics and Statistics, University of Sydney, Sydney, NSW, 2006, Australia
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Abstract: | We consider the principal eigenvalue of generalised Robin boundary value problems on non-smooth domains, where the zero order coefficient of the boundary operator is negative or changes sign. We provide conditions so that the related eigenvalue problem has a principal eigenvalue. We work with the framework involving measure data on the boundary due to Arendt and Warma (Potential Anal 19:341–363, 2003). Examples of simple domains with cusps are used to illustrate all possible phenomena. |
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