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- Title
Uniqueness of nodal radial solutions to nonlinear elliptic equations in the unit ball.
- Authors
Li, Fuyi; Li, Xiaoting; Liang, Zhanping
- Abstract
In this paper, we study the uniqueness of nodal radial solutions to nonlinear elliptic equations in the unit ball in ℝ3$$ {\mathrm{\mathbb{R}}}^3 $$. 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.
- Subjects
NONLINEAR equations; UNIT ball (Mathematics); ELLIPTIC equations; DIOPHANTINE equations; MATHEMATICS
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 11, p8551
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.10031