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Large solutions for an elliptic system of competitive type: Existence, uniqueness and asymptotic behavior

โœ Scribed by Chunlai Mu; Shuibo Huang; Qiaoyu Tian; Limin Liu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
564 KB
Volume
71
Category
Article
ISSN
0362-546X

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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\