M. Clapp

activity

20122025

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

33 citations · 47 across the 18 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

Critical polyharmonic systems and optimal partitions

Mónica Clapp, Juan Carlos Fernández, Alberto Saldaña

We establish the existence of solutions to a weakly-coupled competitive system of polyharmonic equations in R^N which are invariant under a group of conformal diffeomorphisms, and…