2 citations · 5 across the 6 of their papers we have counts for
8 papers
Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals
Carolin Kreisbeck, Antonella Ritorto, Elvira Zappale
Motivated by the direct method in the calculus of variations in , our main result identifies the notion of convexity characterizing the weakly lower semicontinuity…
Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes
Arturo de Pablo, Fernando Quirós, Antonella Ritorto
We prove the existence of an extremal function in the Hardy-Littlewood-Sobolev inequality for the energy associated to an stable operator. To this aim we obtain a concentration-com…
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy
Dominik Engl, Carolin Kreisbeck, Antonella Ritorto
We identify the restricted class of attainable effective deformations in a model of reinforced composites with parallel, long, and fully rigid fibers embedded in an elastic body. I…
Nonnegative solutions for the fractional Laplacian involving a nonlinearity with zeros
Salomón Alarcón, Leonelo Iturriaga, Antonella Ritorto
We study the nonlocal nonlinear problem \begin{equation}\label{ppp} \left\{ \begin{array}[c]{lll} (-Δ)^s u = λf(u) & \mbox{in }Ω, \\ u=0&\mbox{on } \mathbb{R}^N\setminusΩ, \end{arr…
A minimization problem involving a fractional Hardy-Sobolev type inequality
Antonella Ritorto
In this work, we obtain an existence of nontrivial solutions to a minimization problem involving a fractional Hardy-Sobolev type inequality in the case of inner singularity. Precis…
Optimal partition problems for the fractional laplacian
Antonella Ritorto
In this work, we prove an existence result for an optimal partition problem of the form $$\min \{F_s(A_1,\dots,A_m)\colon A_i \in \mathcal{A}_s, \, A_i\cap A_j =\emptyset \mbox{ fo…
Shape optimization problems for nonlocal operators
Julian Fernandez Bonder, Antonella Ritorto, Ariel Martin Salort
In this work we study a general shape optimization problem where the state equation is given in terms of a nonlocal operator. Examples of the problems considered are monotone combi…
convergence result for nonlocal elliptic-type problems via Tartar's method
J. Fernandez Bonder, A. Ritorto, A. M. Salort
In this work we obtain a compactness result for the convergence of a family of nonlocal and nonlinear monotone elliptic-type problems by means of Tartar's method of oscillating…