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math.AP2015★ 1 cited
Monotonicity in half-spaces of positive solutions to in the case
Alberto Farina, Luigi Montoro, Berardino Sciunzi
We consider weak distributional solutions to the equation in half-spaces under zero Dirichlet boundary condition. We assume that the nonlinearity is positive and super…
math.AP2015★ 3 cited
Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
Serena Dipierro, Luigi Montoro, Ireneo Peral +1
We prove the existence, qualitative properties and asymptotic behavior of positive solutions to the doubly critical problem $$ (-Δ)^s u=\vartheta\frac{u}{|x|^{2s}}+u^{2_s^*-1}, \qu…