22 citations · 97 across the 51 of their papers we have counts for
7 papers · 1 filter
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…
Asymptotic behavior of the curves in the Fu{č}{\'ı}k spectrum
Juan Pablo Pinasco, Ariel Martin Salort
In this work we study the asymptotic behavior of the curves of the Fu{č}{\'ı}k spectrum for weighted second order linear ordinary differential equations. We prove a Weyl type asymp…
Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term
Alexander Quaas, Ariel Salort, Aliang Xia
We study existence of principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term via the Krein-Rutman theorem which based on regularity up t…
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…
Homogenization of Fučík eigencurves
Julián Fernández Bonder, Juan Pablo Pinasco, Ariel Martin Salort
In this work we study the convergence of an homogenization problem for half-eigenvalues and Fučík eigencurves. We provide quantitative bounds on the rate of convergence of the curv…
Homogenization of Fucik eigenvalues by optimal partition methods
Ariel M. Salort
Given a bounded domain in , we study the asymptotic behavior as of the eigencurves of $$ -Δ_p u_\varepsilon=α_\varepsilon m(\tfrac{x…