Radial solutions with a prescribed number of zeros for a superlinear Dirichlet problem in annular domain

Autor: Azeroual Boubker, Abderrahim Zertiti
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2016, Iss 114,, Pp 1-14 (2016)
Druh dokumentu: article
ISSN: 1072-6691
Popis: In this article we study the existence of radially symmetric solutions to a superlinear Dirichlet problem in annular domain in $\mathbb{R}^N$. Using fairly straightforward tools of the theory of ordinary differential equations, we show that if k is a sufficiently large nonnegative integer, there is a solution u which has exactly (k-1) interior zeros.
Databáze: Directory of Open Access Journals