Year: 1997
Type: article
Abstract: We present the exact multiplicity results for some nonlinear elliptic equations in balls of radius $R$. We prove that there is a critical value $R_{0}$ such that, for $R < R_{0}$, the equation has no solution; when $R=R_{0}$, it has exactly one solution; when $R > R_{0}$, it has exactly two solutions. Our main tool is the bifurcation theorem due to Crandall and Rabinowitz.
Author: Juncheng Wei
Institution: Chinese University of Hong Kong
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1635687524