Singular solutions of semilinear elliptic equations with supercritical growth on Riemannian manifolds

被引：0

作者：

Hasegawa, Shoichi ^{[1
]}

机构：

[1] Waseda Univ, Sch Fundamental Sci & Engn, Dept Math, 3-4-1 Okubo,Shinjuku Ku, Tokyo 1698555, Japan

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2024年 / 31卷 / 03期

关键词：

Semilinear elliptic equation; Singular solution; Supercritical; Riemannian manifolds; EMDEN-FOWLER EQUATION; CRITICAL EXPONENT; RADIAL SOLUTIONS; POSITIVE SOLUTIONS; CLASSIFICATION; BIFURCATION;

D O I：

10.1007/s00030-024-00926-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we shall discuss singular solutions of semilinear elliptic equations with general supercritical growth on spherically symmetric Riemannian manifolds. More precisely, we shall prove the existence, uniqueness and asymptotic behavior of the singular radial solution, and also show that regular radial solutions converges to the singular solution. In particular, we shall provide these properties on spherically symmetric Riemannian manifolds including the hyperbolic space as well as the sphere.

引用

页数：28

共 40 条

[1]

[Anonymous], 2001, Elliptic and Parabolic Problems. Rolduc and Gaeta

[2] The Brezis-Nirenberg problem on S [J].