We give a simple convexity-based proof of the following fact: the only eigenfunction of the p-Laplacian that does not change sign is the first one. The method of proof covers also more general nonlinear eigenvalue problems. Copyright 2012 Springer Basel.
A note on positive eigenfunctions and hidden convexity / Brasco, L; Franzina, G. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - 99:4(2012), pp. 367-374. [10.1007/s00013-012-0441-8]
A note on positive eigenfunctions and hidden convexity
FRANZINA G
2012-01-01
Abstract
We give a simple convexity-based proof of the following fact: the only eigenfunction of the p-Laplacian that does not change sign is the first one. The method of proof covers also more general nonlinear eigenvalue problems. Copyright 2012 Springer Basel.File in questo prodotto:
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