Alberto Saldaña

collaborators

3 papers

math.AP2025

A concentration phenomenon for a semilinear Schrödinger equation with periodic self-focusing core

Mónica Clapp, Alberto Saldaña, Andrzej Szulkin

We consider the equation $- Δ u + u = Q_{ε} (x) ∣ u ∣^{p - 2} u, u \in H^{1} (R^{N}),$ where $Q_{ε}$ takes the value $1$ on each ball $B_{ε} (y)$ , $y\in\mathbb…

math.AP2025

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…

math.AP2024

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 $Ω$ and…