7 papers
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 \[ -Îu = Q_Ω |u|^{p-2}u \quad \text{in } \mathbb{R}^N, \] where \( Q_Ω = Ï_Ω - Ï_{\mathbb{R}^N \setminus Ω} \) for a bounded smooth…
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 \[ -Îu = Q_Ω|u|^{p-2}u \quad \text{in } \mathbb{R}^N, \] where , $Ω\subset \math…
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…
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\mathb…
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…
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…