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Asymptotic behavior of stable radial solutions of semilinear elliptic equations in

โœ Scribed by Salvador Villegas


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
162 KB
Volume
88
Category
Article
ISSN
0021-7824

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โœ R. Kajikiya ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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\