𝔖 Bobbio Scriptorium
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‘Large’ solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour

✍ Scribed by Catherine Bandle; Moshe Marcus


Book ID
112895107
Publisher
Springer-Verlag
Year
1992
Tongue
English
Weight
559 KB
Volume
58
Category
Article
ISSN
0021-7670

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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\