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- W4288601905 abstract "In this paper we consider minimizers for nonlocal energy functionals generalizing elastic energies that are connected with the theory of peridynamics cite{Silling2000} or nonlocal diffusion models cite{Rossi}. We derive nonlocal versions of the Euler-Lagrange equations under two sets of growth assumptions for the integrand. Existence of minimizers is shown for integrands with joint convexity (in the function and nonlocal gradient components). By using the convolution structure we show regularity of solutions for certain Euler-Lagrange equations. No growth assumptions are needed for the existence and regularity of minimizers results, in contrast with the classical theory." @default.
- W4288601905 created "2022-07-29" @default.
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- W4288601905 date "2019-02-04" @default.
- W4288601905 modified "2023-09-25" @default.
- W4288601905 title "Existence and regularity of minimizers for nonlocal energy functionals" @default.
- W4288601905 doi "https://doi.org/10.48550/arxiv.1902.01495" @default.
- W4288601905 hasPublicationYear "2019" @default.
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