Uniqueness of nodal radial solutions to nonlinear elliptic equations in the unit ball

被引：0

作者：

Li, Fuyi ^{[1
]}

Li, Xiaoting ^{[1
]}

Liang, Zhanping ^{[1
,2
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan, Peoples R China

[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 11期

基金：

中国国家自然科学基金;

关键词：

nodal radial solution; shooting method; uniqueness; NONUNIQUENESS;

D O I：

10.1002/mma.10031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the uniqueness of nodal radial solutions to nonlinear elliptic equations in the unit ball in Double-struck capital R3$$ {\mathrm{\mathbb{R}}} circumflex 3 $$. Under suitable conditions, we prove that, for any given positive integer k$$ k $$, the problem we considered has at most one solution possessing exactly k-1$$ k-1 $$ nodes. Together with the results presented by Nagasaki [J. Fac. Sci. Univ. Tokyo Sect. IA Math. 36 (2): 211-232, 1989] and Tanaka [Proc. Roy. Soc. Edinburgh Sect. A. 138 (6): 1331-1343, 2008], we can prove that more types of nonlinear elliptic equations have the uniqueness of nodal radial solutions.

引用

页码：8551 / 8560

页数：10

共 19 条

[1] Non-radial solutions for some semilinear elliptic equations on the disk [J].