44 citations · 218 across the 75 of their papers we have counts for
10 papers · 1 filter
On the supercritical mean field equation on pierced domains
Mohameden Ould Ahmedou, Angela Pistoia
We consider the problem $$(P_\eps)\qquad Δu +λ{e^{u}\over\int\limits_{Ω\setminus B(ξ,\eps)}e^u}=0\ \hbox{in}\ Ω\setminus B(ξ,\eps),\quad u =0\ \hbox{on}\ \partial\(Ω\setminus B(ξ,\…
Supercritical problems on manifolds
Angela Pistoia, Giusi Vaira
Let be a -dimensional compact Riemannian manifold without boundary. Assume is such that is coercive. We prove the existence of a solution to the s…
A Paneitz-type problem in pierced domains
S. Alarcón, A. Pistoia
We study the critical problem {equation} {{array}{ll} Δ^{2}u=u^{\frac{N+4}{N-4}} & {in}Ω\setminus \bar{B(ξ_0,\varepsilon)},\medskip u>0&{in}Ω\setminus \bar{B(ξ_0,\varepsilon)},\med…
Supercritical problems in domains with thin toroidal holes
Seunghyeok Kim, Angela Pistoia
In this paper we study the Lane-Emden-Fowler equation Here $\mathcal D_ε= \mathcal D \…
Positive solutions to a supercritical elliptic problem which concentrate along a thin spherical hole
Mónica Clapp, Jorge Faya, Angela Pistoia
We consider the supercritical problem \[ -Δv=|v|^{p-2}v in Θ_ε, v=0 on \partialΘ_ε, \] where is a bounded smooth domain in , , , a…
Non degeneracy of critical points of the Robin function with respect to deformations of the domain
Anna Maria Micheletti, Angela Pistoia
We show a result of genericity for non degenerate critical points of the Robin function with respect to deformations of the domain