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Zbl 0522.35036
Berestycki, Henri; Lions, Pierre-Louis; Peletier, L.A.
An ODE approach to the existence of positive solutions for semilinear problems in $R\sp n$.
(English)
[J] Indiana Univ. Math. J. 30, 141-157 (1981). ISSN 0022-2518

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MSC 2000:
*35J60 Nonlinear elliptic equations
34B15 Nonlinear boundary value problems of ODE
35A05 General existence and uniqueness theorems (PDE)
35A35 Theoretical approximation to solutions of PDE

Keywords: positive solutions; semilinear problems; positive and radial solution; nonlinear field equations; existence of ground states; shooting argument; non-autonomous equations; supercritical case; instability; nonlinear heat equation

Cited in: Zbl 1073.34026 Zbl 0998.35018 Zbl 0657.35057

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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