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Comparison theorems for radial solutions of semilinear elliptic equations

โœ Scribed by C.J. Budd


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
730 KB
Volume
72
Category
Article
ISSN
0022-0396

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Radial Solutions of Semilinear Elliptic
โœ S. Maier ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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