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

Norihisa Ikoma, Hitoshi Ishii

Research output: Contribution to journal › Article

7 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 languageEnglish
Pages (from-to)783-812
Number of pages30
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume29
Issue number5
DOIs
Publication statusPublished - 2012 Jan 1
Externally publishedYes

Fingerprint

Elliptic PDE
Fully Nonlinear
Eigenvalues and eigenfunctions
Eigenvalue Problem
Eigenfunctions
Completeness
Ball
Eigenvalue
Interval

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics

Cite this

Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls. / Ikoma, Norihisa; Ishii, Hitoshi.

In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Vol. 29, No. 5, 01.01.2012, p. 783-812.

Research output: Contribution to journal › Article

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, vol. 29, no. 5, pp. 783-812. https://doi.org/10.1016/j.anihpc.2012.04.004
Ikoma N, Ishii H. Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 2012 Jan 1;29(5):783-812. https://doi.org/10.1016/j.anihpc.2012.04.004
Ikoma, Norihisa ; Ishii, Hitoshi. / Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls. In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 2012 ; Vol. 29, No. 5. pp. 783-812.
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