Principal eigenvalues for generalised indefinite Robin problems

Daniel Daners
Preprint (PDF) June 2011
Potential Analysis 38 (2013), 1047–1069
Original article at doi:10.1007/s11118-012-9306-9
Citations on Google Scholar


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 & Warma, Potential Anal. 19, 2003, 229-231]. Examples of simple domains with cusps are used to illustrate all phenomena occurring.

A preprint (PDF) is available.

You can go to the original article .

AMS Subject Classification (2000):