A. Pistoia

activity

20052022

most citedNonexistence and multiplicity of solutions to elliptic problems with supercritical exponents

33 citations · 44 across the 24 of their papers we have counts for

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45 papers · 1 filter

math.AP2022

Clustering phenomena in low dimensions for a boundary Yamabe problem

Sergio Cruz-Blázquez, Angela Pistoia, Giusi Vaira

We consider the classical geometric problem of prescribing the scalar and boundary mean curvatures via conformal deformation of the metric on a $n -$ dimensional compact Riemannian m…

math.AP2022

Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces

Angela Pistoia, Giusi Vaira

We find positive non-radial solutions for a system of Schrödinger equations in a weak fully attractive or repulsive regime in presence of an external radial trapping potential that…

math.AP2022

Segregated solutions for a critical elliptic system with a small interspecies repulsive force

Haixia Chen, Maria Medina, Angela Pistoia

We consider the elliptic system $- Δ u_{i} = u_{i}^{3} + j \neq = i j = 1 \sum q + 1 β_{ij} u_{i} u_{j}^{2} in R^{4}, i = 1, \dots, q + 1.$ when $α := β_{ij}$ and $β:=β_{i(q+1…

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…