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arxiv: 0805.3657 · v1 · submitted 2008-05-23 · 🧮 math.AP

Sym\'etrie des grandes solutions d'\'equations elliptiques semi lin\'eaire

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keywords asymptoticallyballcontinuousconvexdeltaeaireelliptiquesequations
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We prove that, if $g$ is a continuous asymptotically convex function, any solution $u$ of $-\Delta u+g(u)=0$ in a ball B which tends to infinity on $\partial B$ is radially symmetric.

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