Radial Solutions of Semilinear Elliptic
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S. Maier
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Article
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1994
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Elsevier Science
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English
β 989 KB
We study solutions \(u=u(t)\) of an initial value problem for \(u^{\prime \prime}+((n-1) / t) u^{\prime}+\) \(f(u)=0\). Under certain conditions on the nonlinearity \(f\) (for instance \(f(u)=\) \(\left.-|u|^{q}+|u|^{\hat{q}-1} u, 12\right)\), we get the existence of some initial values, such that t