2 citations · 3 across the 6 of their papers we have counts for
11 papers
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^…
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 …
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 …
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…
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…
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…
Symmetry of large solutions for semilinear elliptic equations in a ball
Carmen Cortázar, Manuel Elgueta, Jorge García-Melián
In this work we consider the boundary blow-up problem where …
Multiplicity results for sign changing bound state solutions of a semilinear equation
Carmen Cortázar, Marta García-Huidobro, Pilar Herreros
In this paper we give conditions on so that problem has at least two radial bound state solutions with any prescribed number o…
Asymptotic behavior for a nonlocal diffusion equation in exterior domains: the critical two-dimensional case
Carmen Cortázar, Manuel Elgueta, Fernando Quirós +1
We study the long time behavior of bounded, integrable solutions to a nonlocal diffusion equation, , where is a smooth, radially symmetric kernel with supp…
Existence of sign changing solutions for an equation with a weighted p-Laplace operator
Carmen Cortázar, Jean Dolbeault, Marta Garcia-Huidobro +1
We consider radial solutions of a general elliptic equation involving a weighted -Laplace operator with a subcritical nonlinearity. By a shooting method we prove the existence o…
On the existence of sign changing bound state solutions of a quasilinear equation
Carmen Cortázar, Marta Garcia-Huidobro, Cecilia Yarur
In this paper we establish the existence of bound state solutions of any given order to where $Δ_m u=\nabla\cdot(|\nabla u|^{m-2}\nabla…