TY - JOUR
T1 - Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls
AU - Ikoma, Norihisa
AU - Ishii, Hitoshi
N1 - Funding Information:
The authors would like to thank the anonymous referee for his/her useful suggestions and careful reading of the manuscript. The first author was supported by Grant-in-Aid for JSPS Fellows 22-1561 and Japanese–German Graduate Externship, International Research Training Group associated with Waseda University and Technische Universität Darmstadt. The second author was supported in part by KAKENHI (20340019, 21340032, 21224001, 23340028 and 23244015) JSPS.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
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U2 - 10.1016/j.anihpc.2012.04.004
DO - 10.1016/j.anihpc.2012.04.004
M3 - Article
AN - SCOPUS:84866731936
VL - 29
SP - 783
EP - 812
JO - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
JF - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
SN - 0294-1449
IS - 5
ER -