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Microscopic asymptotics for solutions of some semilinear Elliptic equations

Published online by Cambridge University Press:  22 January 2016

Takayoshi Ogawa
Affiliation:
Graduate School of Polymathematics, Nagoya University, Furôchô, Chikusa-ku, Nagoya, 464-01, Japan
Takashi Suzuki
Affiliation:
Department of Mathematics, Osaka University, Machikaneyamachô, Toyonaka, Osaka 560, Japan
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In our previous work [8], we picked up the elliptic equation

(1)

with the nonlinearity f(u) ⊇ 0 in C1. We studied the asymptotics of the family {(λ, u(x))} of classical solutions satisfying

(2)

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

References

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