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

Norihisa Ikoma, Hitoshi Ishii

Research output: Contribution to journalArticle

8 Citations (Scopus)


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
Issue number5
Publication statusPublished - 2012 Jan 1
Externally publishedYes


ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics

Cite this