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20122022
most citedMultiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity

1 citations · 1 across the 3 of their papers we have counts for

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9 papers

math.AP20221 cited

Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity

Carmen Cortázar, Marta García-Huidobro, Pilar Herreros

Given , we define a class of continuous piecewise functions having abrupt but controlled magnitude changes so that the problem $$Δu +f(u)=0,\quad x\in \mathbb R^…

math.AP2022

Decay/growth rates for inhomogeneous heat equations with memory. The case of small dimensions

Carmen Cortázar, Fernando Quirós, Noemí Wolanski

We study the decay/growth rates in all norms of solutions to an inhomogeneous nonlocal heat equation in involving a Caputo -time derivative and a power

math.AP2021

Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions

Carmen Cortázar, Fernando Quirós, Noemí Wolanski

We study the decay/growth rates in all norms of solutions to an inhomogeneous nonlocal heat equation in involving a Caputo -time derivative and a power

math.AP2020

On the uniqueness of solutions of a semilinear equation in an annulus

Carmen Cortázar, Marta Garcia-Huidobro, Pilar Herreros +1

We establish the uniqueness of positive radial solutions of where $A:=A_{a,b}=\{ x\in {\math…

math.AP2020

Large-time behavior for a fully nonlocal heat equation

Carmen Cortázar, Fernando Quirós, Noemí Wolanski

We study the large-time behavior in all norms and in different space-time scales of solutions to a nonlocal heat equation in involving a Caputo -time deriva…

math.AP2018

A free boundary problem of Stefan type with nonlocal diffusion

Carmen Cortázar, Fernando Quirós, Noemí Wolanski

We introduce and analyze a nonlocal version of the one-phase Stefan problem in which, as in the classical model, the rate of growth of the volume of the liquid phase is proportiona…