Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls
Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 5, pp. 783-812
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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},
pages = {783--812},
publisher = {Elsevier},
volume = {29},
number = {5},
year = {2012},
doi = {10.1016/j.anihpc.2012.04.004},
mrnumber = {2971031},
zbl = {1254.35166},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2012.04.004/}
}
TY - JOUR AU - Ikoma, Norihisa AU - Ishii, Hitoshi TI - Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls JO - Annales de l'I.H.P. Analyse non linéaire PY - 2012 SP - 783 EP - 812 VL - 29 IS - 5 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2012.04.004/ DO - 10.1016/j.anihpc.2012.04.004 LA - en ID - AIHPC_2012__29_5_783_0 ER -
%0 Journal Article %A Ikoma, Norihisa %A Ishii, Hitoshi %T Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls %J Annales de l'I.H.P. Analyse non linéaire %D 2012 %P 783-812 %V 29 %N 5 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2012.04.004/ %R 10.1016/j.anihpc.2012.04.004 %G en %F 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, Tome 29 (2012) no. 5, pp. 783-812. doi: 10.1016/j.anihpc.2012.04.004
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