3 citations · 3 across the 11 of their papers we have counts for
5 papers · 2 filters
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…