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Existence and Asymptotic-Behavior of Nodal Solutions for Semilinear Elliptic-Equations

โœ Scribed by R. Kajikiya

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
533 KB
Volume
106
Category
Article
ISSN
0022-0396

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โœฆ Synopsis

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) zeros in the interval (0 \leqslant|x|<x) and which behave like (i), (ii), and (iii), respectively. 1993 Academic Press, Inc.

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