Symétrie des grandes solutions d'équations elliptiques semi linéaire

Details Symétrie des grandes solutions d'équations elliptiques semi linéaire Symétrie des grandes solutions d'équations elliptiques semi linéaire

2008-05-23

arxiv.org/abs/0805.3657v1

C. R. Acad. Sci. Paris Ser. Paris I 342 (2006) 483-487

Mathematics

Analysis of PDEs

Scientific paper

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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