A. Pistoia

activity

20052026

most citedMultiple blow-up phenomena for the sinh-Poisson equation

44 citations · 218 across the 75 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.AP2021

Yamabe systems and optimal partitions on manifolds with symmetries

Mònica Clapp, Angela Pistoia

We prove the existence of regular optimal $G$ -invariant partitions, with an arbitrary number $ℓ \geq 2$ of components, for the Yamabe equation on a closed Riemannian manifold $(M…

math.AP2021

Fully nontrivial solutions to elliptic systems with mixed couplings

Monica Clapp, Angela Pistoia

We study the existence of fully nontrivial solutions to the system $- Δ u_{i} + λ_{i} u_{i} = j = 1 \sum ℓ β_{ij} ∣ u_{j} ∣^{p} ∣ u_{i} ∣^{p - 2} u_{i} in Ω, i = 1, \dots, ℓ,$ in…

math.AP2021★ 4 cited

Yamabe systems, optimal partitions, and nodal solutions to the Yamabe equation

Mónica Clapp, Angela Pistoia, Hugo Tavares

We give conditions for the existence of regular optimal partitions, with an arbitrary number $ℓ \geq 2$ of components, for the Yamabe equation on a closed Riemannian manifold $(M…

math.AP2021

Solutions to a cubic Schrödinger system with mixed attractive and repulsive forces in a critical regime

Simone Dovetta, Angela Pistoia

We study the existence of solutions to the cubic Schrödinger system $$ -Δu_i = \sum_{j =1}^m β_{ij} u_j^2u_i + λ_i u_i\ \hbox{in}\ Ω,\ u_i=0\ \hbox{on}\ \partialΩ,\ i =1,\dots,m, $…