dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
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Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author
Cabré Vilagut, Xavier
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Capella Kort, Antonio
dc.identifier
C. R. Acad. Sci. Paris, Ser. I 338 (2004) 769–774
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https://hdl.handle.net/2117/978
dc.description.abstract
We establish that every nonconstant bounded radial solution u of −?u = f (u) in all of Rn is unstable if n ? 10. The result
applies to every C1 nonlinearity f satisfying a generic nondegeneracy condition. In particular, it applies to every analytic and
every power-like nonlinearity. We also give an example of a nonconstant bounded radial solution u which is stable for every
n ? 11, and where f is a polynomial. To cite this article: X. Cabré, A. Capella, C. R. Acad. Sci. Paris, Ser. I 338 (2004).
? 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.
dc.description.abstract
Peer Reviewed
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application/pdf
dc.subject
Partial differential equations
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Partial Differential Equations
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Equacions en derivades parcials
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Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
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Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type
dc.title
On the stability of radial solutions of semilinear elliptic equations in all of R<sup>n</sup>
