EXACT ASYMPTOTIC BEHAVIOR OF SINGULAR POSITIVE SOLUTIONS OF FRACTIONAL SEMI-LINEAR ELLIPTIC EQUATIONS

被引：5

作者：

Yang, Hui ^{[1
]}

Zou, Wenming ^{[2
]}

机构：

[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 07期

关键词：

LOCAL BEHAVIOR; LAPLACIANS; REGULARITY; SYMMETRY; THEOREMS;

D O I：

10.1090/proc/14448

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the exact asymptotic behavior of singular positive solutions of fractional semi-linear equations (-Delta)(sigma) u = u(p) in B-1 \ {0} with an isolated singularity, where sigma is an element of (0, 1) and n/n - 2 sigma < p < n+2 sigma/n-2 sigma.

引用

页码：2999 / 3009

页数：11

共 50 条

[11] On the asymptotic behavior of the solutions of a class of semi-linear evolution equations
Preda, Ciprian
Dima, Bogdan
Pirtea, Marilen
PROCEEDINGS OF THE AMERICAN CONFERENCE ON APPLIED MATHEMATICS: RECENT ADVANCES IN APPLIED MATHEMATICS, 2009, : 386 - +
[12] Positive solutions of the Robin problem for semi-linear elliptic equations on annuli
Department of Applied Mathematics, Hunan University, Changsha, Hunan 410082, China
不详
Att Aca Naz Lincei Cl Sci Fis Mat Nat Rend Lincei Mat Appl, 2008, 3 (175-188): : 175 - 188
[13] Semi-linear singular elliptic equations with dependence on the gradient
Brock, Friedemann
Iturriaga, Leonelo
Ubilla, Pedro
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (03) : 601 - 614
[14] On Ground State Solutions to Mixed Type Singular Semi-Linear Elliptic Equations
Mohammed, Ahmed
ADVANCED NONLINEAR STUDIES, 2010, 10 (01) : 231 - 244
[15] POSITIVE SOLUTIONS OF SEMI-LINEAR ELLIPTIC PROBLEMS
DEFIGUEIREDO, DG
LECTURE NOTES IN MATHEMATICS, 1982, 957 : 34 - 87
[16] On isolated singularities of fractional semi-linear elliptic equations
Yang, Hui
Zou, Wenming
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2021, 38 (02): : 403 - 420
[17] Local Analysis of Solutions of Fractional Semi-Linear Elliptic Equations with Isolated Singularities
Caffarelli, Luis
Jin, Tianling
Sire, Yannick
Xiong, Jingang
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2014, 213 (01) : 245 - 268
[18] Local Analysis of Solutions of Fractional Semi-Linear Elliptic Equations with Isolated Singularities
Luis Caffarelli
Tianling Jin
Yannick Sire
Jingang Xiong
Archive for Rational Mechanics and Analysis, 2014, 213 : 245 - 268
[19] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF SEMI-LINEAR ELLIPTICAL EQUATIONS IN RN
VERON, L
ANNALI DI MATEMATICA PURA ED APPLICATA, 1981, 127 : 25 - 50
[20] AN A PRIORI BOUND FOR POSITIVE SOLUTIONS OF SEMI-LINEAR ELLIPTIC-EQUATIONS IN RN
CHALJUBSIMON, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 305 (20): : 869 - 872

← 1 2 3 4 5 →