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math.AP2021
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…
math.AP2021
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…