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math.AP2023
The dual approach to optimal control in the coefficients of nonlocal nonlinear diffusion
Marcus Schytt, Anton Evgrafov
We derive the dual variational principle (principle of minimal complementary energy) for the nonlocal nonlinear scalar diffusion problem, which may be viewed as the nonlocal versio…
math.AP2019
A simple characterization of -convergence for a class of nonlocal problems
José C. Bellido, Anton Evgrafov
This is a follow-up of a paper by Fernández-Bonder-Ritorto-Salort [8], where the classical concept of -convergence was extended to fractional \(p\)-Laplace type operators. In th…
math.AP2018
From nonlocal Eringen's model to fractional elasticity
Anton Evgrafov, José C. Bellido
Eringen's model is one of the most popular theories in nonlocal elasticity. It has been applied to many practical situations with the objective of removing the anomalous stress con…