44 citations · 218 across the 75 of their papers we have counts for
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A fountain of positive Bubbles on a Coron's Problem for a Competitive Weakly Coupled Gradient System
Angela Pistoia, Nicola Soave, Hugo Tavares
We consider the following critical elliptic system: \begin{equation*} \begin{cases} -Δu_i=μ_i u_i^{3}+βu_i^{ } \sum\limits_{j\neq i} u_j^{2} \quad \hbox{in}\ Ω_\varepsilon \\ u_i=0…
Maximal solution of the Liouville equation in doubly connected domains
Michal Kowalczyk, Angela Pistoia, Giusi Vaira
In this paper we consider the Liouville equation with Dirichlet boundary conditions in a two dimensional, doubly connected domain . We show that there exists…
Free boundary problems arising in the theory of maximal solutions of equations with exponential nonlinearities
Michal Kowalczyk, Angela Pistoia, Piotr Rybka +1
We consider equations of the form in various two dimensional settings. We assume that is a given function, is a small parameter and $ρ=\mathcal…
Blow-up phenomena for linearly perturbed Yamabe problem on manifolds with umbilic boundary
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
We build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with umbilic boundary, provided the Weyl tensor is nonzero everywhere on the boundary and t…
Infinitely many non-radial solutions to a critical equation on annulus
Yuxia Guo, Benniao Li, Angela Pistoia +1
In this paper, we build infinitely many non-radial sign-changing solutions to the critical problem: \begin{equation*} \left\{\begin{array}{rlll} -Δu&=|u|^{\frac{4}{N-2}}u, &\hbox{…