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Asymptotic behavior of solutions to multiplicative control problems for elliptic equations

โœ Scribed by R. V. Brizitskii; A. S. Savenkova

Book ID
110195936
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
269 KB
Volume
48
Category
Article
ISSN
0965-5425

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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\