Concentrating solutions for the Hénon equation in IR 2 ∗
نویسنده
چکیده
We consider the boundary value problem ∆u + |x| 2α u p = 0, α > 0, in the unit ball B with homogeneous Dirichlet boundary condition and p a large exponent. We find a condition which ensures the existence of a positive solution up concentrating outside the origin at k symmetric points as p goes to +∞. The same techniques lead also to a more general result on general domains. In particular, we have that concentration at the origin is always possible, provided α / ∈ IN .
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