We review some results about the first eigenvalue of the infinity Laplacian operator and its first eigenfunctions in a general norm context. Those results were obtained in collaboration with several authors: V. Ferone, P. Juutinen and B. Kawohl (see [BFK], [BK1], [BJK] and [BK2]). In section 5 we make some remarks on the simplicity of the first eigenvalue of the infinity Laplacian: this will be the object of a joint work with A. Wagner (see [BW]).
The infinity-Laplacian first eigenvalue problem / Belloni, Marino. - 154:(2007), pp. 85-94. (Intervento presentato al convegno Free Boundary Problems tenutosi a Coimbra nel 2005).
The infinity-Laplacian first eigenvalue problem
BELLONI, Marino
2007-01-01
Abstract
We review some results about the first eigenvalue of the infinity Laplacian operator and its first eigenfunctions in a general norm context. Those results were obtained in collaboration with several authors: V. Ferone, P. Juutinen and B. Kawohl (see [BFK], [BK1], [BJK] and [BK2]). In section 5 we make some remarks on the simplicity of the first eigenvalue of the infinity Laplacian: this will be the object of a joint work with A. Wagner (see [BW]).| File | Dimensione | Formato | |
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