Uniqueness of the First Eigenfunction for Fully Nonlinear Equations: the Radial Case

被引：4

作者：

Birindelli, I. ^{[1
]}

Demengel, F. ^{[2
]}

机构：

[1] Univ Roma La Sapienza, Dept Math, Rome, Italy

[2] Univ Cergy Pontoise, Lab Anal Geometrie & Applicat, Cergy Pontoise, France

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2010年 / 29卷 / 01期

关键词：

Eigenvalue; fully-nonlinear elliptic operators; comparison principle; PRINCIPAL EIGENVALUE; VISCOSITY SOLUTIONS; MAXIMUM PRINCIPLE; OPERATOR; BIFURCATION; SIMPLICITY; EXISTENCE;

D O I：

10.4171/ZAA/1398

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The concept of eigenvalue has recently been extended to a large class of fully-nonlinear operators, here for fully-nonlinear operators in non divergence form that present singularities and degeneracies similar to the p-Laplacian we prove that in the radial case the eigenfunction is simple.

引用

页码：77 / 90

页数：14

共 50 条

[31] The Existence and Uniqueness of Nonlinear Elliptic Equations with General Growth in the Gradient
Alvino, Angelo
Ferone, Vincenzo
Mercaldo, Anna
MATHEMATICS, 2025, 13 (01)
[32] EXISTENCE OF BOUNDED SOLUTIONS OF FULLY NONLINEAR ELLIPTIC EQUATIONS MODELING THE FIRST PASSAGE TIME IN CYLINDRICAL DOMAINS
Di Crescenzo, Antonio
Spina, Serena
Vitolo, Antonio
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2024, 37 (3-4) : 237 - 266
[33] The exterior Dirichlet problem for fully nonlinear elliptic equations related to the eigenvalues of the Hessian
Li, Haigang
Bao, Jiguang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (07) : 2480 - 2501
[34] ABP and global Holder estimates for fully nonlinear elliptic equations in unbounded domains
Birindelli, I.
Dolcetta, I. Capuzzo
Vitolo, A.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2016, 18 (04)
[35] Existence of periodic solutions for fully nonlinear first-order differential equations
Li, DS
Liang, YT
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (04) : 1095 - 1109
[36] Singular Solutions of Fully Nonlinear Elliptic Equations and Applications
Armstrong, Scott N.
Sirakov, Boyan
Smart, Charles K.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2012, 205 (02) : 345 - 394
[37] Singular Solutions of Fully Nonlinear Elliptic Equations and Applications
Scott N. Armstrong
Boyan Sirakov
Charles K. Smart
Archive for Rational Mechanics and Analysis, 2012, 205 : 345 - 394
[38] PERRON'S METHOD FOR NONLOCAL FULLY NONLINEAR EQUATIONS
Mou, Chenchen
ANALYSIS & PDE, 2017, 10 (05): : 1227 - 1254
[39] Fundamental Solutions of Homogeneous Fully Nonlinear Elliptic Equations
Armstrong, Scott N.
Sirakov, Boyan
Smart, Charles K.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2011, 64 (06) : 737 - 777
[40] UNIQUENESS FOR NEUMANN PROBLEMS FOR NONLINEAR ELLIPTIC EQUATIONS
Betta, Maria Francesca
Guibe, Olivier
Mercaldo, Anna
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (03) : 1023 - 1048

← 1 2 3 4 5 →