3 citations · 3 across the 11 of their papers we have counts for
12 papers
Sign-changing solutions to the Yamabe problem on a spherical cap
Mónica Clapp, Benedetta Pellacci, Angela Pistoia
Spherical caps play a crucial role in establishing a criterion for the existence of solutions to the Yamabe problem on a compact Riemannian manifold with boundary, similar to the r…
Sublinear elliptic equations with a sharp change of sign in the nonlinearity
Mónica Clapp, Alberto Saldaña, Delia Schiera
We study the semilinear indefinite elliptic problem \[ -Δu = Q_Ω|u|^{p-2}u \quad \text{in } \mathbb{R}^N, \] where , …
On the asymptotically linear problem for an elliptic equation with an indefinite nonlinearity
Mónica Clapp, Cristian Morales-Encinos, Alberto Saldaña +1
We study the semilinear elliptic problem \[ -Δu = Q_Ω |u|^{p-2}u \quad \text{in } \mathbb{R}^N, \] where \( Q_Ω = χ_Ω - χ_{\mathbb{R}^N \setminus Ω} \) for a bounded smooth domain…
A concentration phenomenon for a semilinear Schrödinger equation with periodic self-focusing core
Mónica Clapp, Alberto Saldaña, Andrzej Szulkin
We consider the equation where takes the value on each ball , $y\in\mathbb…
Critical equations with a sharp change of sign in the nonlinearity
Mónica Clapp, Jorge Faya, Alberto Saldaña
We establish the existence and nonexistence of entire solutions to a semilinear elliptic problem whose nonlinearity is the critical power multiplied by a function that takes the va…
Multiple solutions to a semilinear elliptic equation with a sharp change of sign in the nonlinearity
Mónica Clapp, Angela Pistoia, Alberto Saldaña
We consider a nonautonomous semilinear elliptic problem where the power nonlinearity is multiplied by a discontinuous coefficient that equals one inside a bounded open set and…
On a Schrödinger system with shrinking regions of attraction
Mónica Clapp, Alberto Saldaña, Andrzej Szulkin
In this paper we consider a competitive weakly coupled elliptic system in which each species is attracted to a small region and repelled from its complement. In this setting, we es…
Positive and nodal limiting profiles for a semilinear elliptic equation with a shrinking region of attraction
Mónica Clapp, Víctor Hernández-Santamaría, Alberto Saldaña
We study the existence and concentration of positive and nodal solutions to a Schrödinger equation in the presence of a shrinking self-focusing core of arbitrary shape. Via a suita…
Optimal pinwheel partitions and pinwheel solutions to a nonlinear Schrödinger system
Mónica Clapp, Alberto Saldaña, Mayra Soares +1
We establish the existence of a solution to a nonlinear competitive Schrödinger system whose scalar potential tends to a positive constant at infinity with an appropriate rate. Thi…
A strong unique continuation property for weakly coupled elliptic systems
Mónica Clapp, Víctor Hernández-Santamaría, Alberto Saldaña
We establish the validity of a strong unique continuation property for weakly coupled elliptic systems, including competitive ones. Our proof exploits the system structure and uses…
Optimal pinwheel partitions for the Yamabe equation
Mónica Clapp, Jorge Faya, Alberto Saldaña
We establish the existence of an optimal partition for the Yamabe equation in the whole space made up of mutually linearly isometric sets, each of them invariant under the action o…
Positive solutions to a supercritical elliptic problem which concentrate along a thin spherical hole
Mónica Clapp, Jorge Faya, Angela Pistoia
We consider the supercritical problem \[ -Δv=|v|^{p-2}v in Θ_ε, v=0 on \partialΘ_ε, \] where is a bounded smooth domain in , , , a…