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arXiv · 1308.3628

On the number of peaks of the eigenfunctions of the linearized Gel'fand problem

Francesca Gladiali·Massimo Grossi·Hiroshi Ohtsuka
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Abstract

We derive a second order estimate for the first m eigenvalues and eigenfunctions of the linearized Gel'fand problem associated to solutions which blow-up at m points. This allows us to determine, in some suitable situations, some qualitative properties of the first m eigenfunctions as the number of points of concentration or the multiplicity of the eigenvalue .

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Francesca Gladiali, Massimo Grossi, Hiroshi Ohtsuka. 2013-08-16. On the number of peaks of the eigenfunctions of the linearized Gel'fand problem. https://arxiv.org/abs/1308.3628

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