Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls
Norihisa Ikoma, Hitoshi Ishii · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2012
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.