We derive a second order estimate for the first $$m$$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 $$m$$m eigenfunctions as the number of points of concentration or the multiplicity of the eigenvalue.
On the number of peaks of the eigenfunctions of the linearized Gel’fand problem / Gladiali, Francesca; Grossi, Massimo; Ohtsuka, Hiroshi. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 195:1(2016), pp. 79-93. [10.1007/s10231-014-0453-z]
On the number of peaks of the eigenfunctions of the linearized Gel’fand problem
Gladiali, Francesca
;GROSSI, Massimo;
2016-01-01
Abstract
We derive a second order estimate for the first $$m$$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 $$m$$m eigenfunctions as the number of points of concentration or the multiplicity of the eigenvalue.File in questo prodotto:
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