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

被引：10

作者：

Ikoma, Norihisa ^{[1
]}

Ishii, Hitoshi ^{[2
,3
]}

机构：

[1] Tohoku Univ, Math Inst, Aoba Ku, Sendai, Miyagi 9808578, Japan

[2] Waseda Univ, Fac Educ & Integrated Arts & Sci, Dept Math, Shinjuku Ku, Tokyo 1698050, Japan

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2012年 / 29卷 / 05期

关键词：

DIRICHLET PROBLEM; PRINCIPAL EIGENVALUES; EQUATIONS; OPERATORS; BIFURCATION;

D O I：

10.1016/j.anihpc.2012.04.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2012 Elsevier Masson SAS. All rights reserved.

引用

页码：783 / 812

页数：30

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