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math.AP2025
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…
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 where takes the value on each ball , $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…