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math.AP2016★ 2 cited
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…
math.AP2016
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…