Alessio Porretta

most citedSymmetry of large solutions of nonlinear elliptic equations in a ball

28 citations · 28 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2008

Symétrie des grandes solutions d'équations elliptiques semi linéaire

Alessio Porretta, Laurent Veron

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

math.AP2008★ 28 cited

Symmetry of large solutions of nonlinear elliptic equations in a ball

Alessio Porretta, Laurent Veron

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 $- Δ u + g (u) = 0$ in a…