Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls

Norihisa Ikoma; Hitoshi Ishii

doi:10.1016/j.anihpc.2012.04.004

Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls

Norihisa Ikoma, Hitoshi Ishii

Research output: Contribution to journal › Article

8 Citations (Scopus)

Abstract

We study the eigenvalue problem for positively homogeneous, of degree one, elliptic ODE on finite intervals and PDE on balls. We establish the existence and completeness results for principal and higher eigenpairs, i.e., pairs of an eigenvalue and its corresponding eigenfunction.

Original language	English
Pages (from-to)	783-812
Number of pages	30
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	29
Issue number	5
DOIs	https://doi.org/10.1016/j.anihpc.2012.04.004
Publication status	Published - 2012 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

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Ikoma, N., & Ishii, H. (2012). Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 29(5), 783-812. https://doi.org/10.1016/j.anihpc.2012.04.004

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