Massimo Grossi Universitá di Roma 1 (Italy)
Existence results for the BrezisNirenberg Problem in the supercritical case
Let us consider the equation Δu + a(x)u = u^{p} in the unit ball of R^{n}, n ≥ 3. We show, under suitable
assumptions on a, the existence of positive solutions with zero Dirichlet boundary conditions if the exponent p is
large enough. The proof of this result relies on the existence of a ‘limit problem’ as p →∞. This is a joint paper
with Angela Pistoia.
