Existence and Asymptotic-Behavior of Nod
โ
R. Kajikiya
๐
Article
๐
1993
๐
Elsevier Science
๐
English
โ 533 KB
The elliptic equation \(\Delta u+f(u)=0\) in \(R^{n}\) is discussed in the case where \(f(u)=\) \(|u|^{n} \quad u(|u| \geqslant 1),=|u|^{4} \quad{ }^{1} u(|u|<1), 10\). It is further proved that for any \(k \geqslant 0\) there exist at least three radially symmetric solutions which have exactly \(k\