Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls
Annales de l'I.H.P. Analyse non linéaire, Volume 29 (2012) no. 5, p. 783-812

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.

@article{AIHPC_2012__29_5_783_0,
author = {Ikoma, Norihisa and Ishii, Hitoshi},
title = {Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Elsevier},
volume = {29},
number = {5},
year = {2012},
pages = {783-812},
doi = {10.1016/j.anihpc.2012.04.004},
zbl = {1254.35166},
mrnumber = {2971031},
language = {en},
url = {http://www.numdam.org/item/AIHPC_2012__29_5_783_0}
}

Ikoma, Norihisa; Ishii, Hitoshi. Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls. Annales de l'I.H.P. Analyse non linéaire, Volume 29 (2012) no. 5, pp. 783-812. doi : 10.1016/j.anihpc.2012.04.004. http://www.numdam.org/item/AIHPC_2012__29_5_783_0/

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