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Article Dans Une Revue Annali della Scuola Normale Superiore di Pisa, Classe di Scienze Année : 2016

Symmetry properties of some solutions to some semilinear elliptic equations

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Résumé

In this paper we prove some symmetry results for entire solutions to the semilinear equation -Delta u = f(u), with f nonincreasing in a right neighbourhood of the origin. We consider solutions decaying only in some directions and we give some sufficient conditions for them to be radially symmetric with respect to those variables, such as periodicity or the pointwise decay of some derivatives.
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Dates et versions

hal-03621422 , version 1 (28-03-2022)

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  • HAL Id : hal-03621422 , version 1

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Alberto Farina, Andrea Malchiodi, Matteo Rizzi. Symmetry properties of some solutions to some semilinear elliptic equations. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2016, 16 (4), pp.1209-1234. ⟨hal-03621422⟩
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