Symmetry of large solutions of nonlinear elliptic equations in a ball

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

10.1016/j.jfa.2006.03.010

Let $g$ be a locally Lipschitz continuous real valued function which
satisfies the Keller-Osserman condition and is convex at infinity, then any
large solution of $-\Delta u+g(u)=0$ in a ball is radially symmetric.

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