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20122022
most citedNonexistence and multiplicity of solutions to elliptic problems with supercritical exponents

33 citations · 47 across the 17 of their papers we have counts for

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27 papers · 1 filter

math.AP2022

An upper bound for the least energy of a sign-changing solution to a zero mass problem

Mónica Clapp, Liliane A. Maia, Benedetta Pellacci

We give an upper bound for the least energy of a sign-changing solution to the the nonlinear scalar field equation where $N\geq…

math.AP2022

Normalized solutions to a non-variational Schrödinger system

Mónica Clapp, Andrzej Szulkin

We establish the existence of positive normalized (in the sense) solutions to non-variational weakly coupled elliptic systems of equations. We consider couplings of bo…

math.AP2021

Yamabe systems and optimal partitions on manifolds with symmetries

Mònica Clapp, Angela Pistoia

We prove the existence of regular optimal -invariant partitions, with an arbitrary number 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 in…

math.AP20214 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 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…