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Paper Citation Record · LEDGER

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints

As of 19 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2607.21822.

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2607.21822 v1

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measured 49 of 49 reference resolution

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49 of 49 outbound references displayed

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Outbound references

Observation 9af6f4ae-ca4c-4fb7-9334-ae2e58b04c43 · outbound

This paper cites Semicontinuity problems in the calculus of variations.Archive for Rational Me- chanics and Analysis, 86(2):125–145, 1984.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Semicontinuity problems in the calculus of variations.Archive for Rational Me- chanics and Analysis, 86(2):125–145, 1984

Reference 1

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This paper cites On some recent advances in shape optimization.Comptes Rendus de l’Académie des Sciences-Series IIB-Mechanics, 329(5):383–396, 2001.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints On some recent advances in shape optimization.Comptes Rendus de l’Académie des Sciences-Series IIB-Mechanics, 329(5):383–396, 2001

Reference 2

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This paper cites Minimization of the compliance under a nonlocal p- laplacian constraint.Mathematics, 11(7):1679, 2023.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Minimization of the compliance under a nonlocal p- laplacian constraint.Mathematics, 11(7):1679, 2023

Reference 3

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Observation aba68537-f8a5-4ca6-b56d-f7535ecc0774 · outbound

This paper cites Convexity conditions and existence theorems in nonlinear elasticity.Archive for rational mechanics and Analysis, 63(4):337–403, 1976.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Convexity conditions and existence theorems in nonlinear elasticity.Archive for rational mechanics and Analysis, 63(4):337–403, 1976

Reference 4

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Observation 29e4d5a7-3462-489c-af72-adff42c1175b · outbound

This paper cites Null lagrangians, weak continuity, and variational problems of arbitrary order.Journal of Functional Analysis, 41(2):135–174, 1981.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Null lagrangians, weak continuity, and variational problems of arbitrary order.Journal of Functional Analysis, 41(2):135–174, 1981

Reference 5

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Observation 75a6efb3-1876-4403-a41f-2e497fb62eb3 · outbound

This paper cites Bond-based peridynamics does not converge to hyperelas- ticity as the horizon goes to zero.Journal of Elasticity, 141(2):273–289, 2020.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Bond-based peridynamics does not converge to hyperelas- ticity as the horizon goes to zero.Journal of Elasticity, 141(2):273–289, 2020

Reference 6

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Observation fb80fa64-fa65-430a-9f93-3fdafeb6c59d · outbound

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On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Unresolved cited work

Reference 7

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This paper cites Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity.Advances in Calculus of Variations, 2023.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Minimizers of nonlocal polyconvex energies in nonlocal hyperelasticity.Advances in Calculus of Variations, 2023

Reference 8

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This paper cites Bellido and Carlos Mora-Corral.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Bellido and Carlos Mora-Corral

Reference 9

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This paper cites Nonlocal green theorems and helmholtz decompositions for truncated fractional gradients.Applied Mathematics & Optimization, 90(1):16, 2024.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Nonlocal green theorems and helmholtz decompositions for truncated fractional gradients.Applied Mathematics & Optimization, 90(1):16, 2024

Reference 10

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Observation 02699d51-6088-4688-80ab-309f8bf19a84 · outbound

This paper cites Non-local gradients in bounded domains motivated by continuum mechanics: Fundamental theorem of calculus and embeddings.Advances in Nonlinear Analysis, 12(1):20220316, 2023.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Non-local gradients in bounded domains motivated by continuum mechanics: Fundamental theorem of calculus and embeddings.Advances in Nonlinear Analysis, 12(1):20220316, 2023

Reference 11

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Observation 9b46e791-3567-47d0-be11-647f502890b7 · outbound

This paper cites Nonlocal gradients: Fundamental theorem of calculus, poincaré inequalities, and embeddings.Journal of the London Mathematical Society, 112(2):e70277, 2025.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Nonlocal gradients: Fundamental theorem of calculus, poincaré inequalities, and embeddings.Journal of the London Mathematical Society, 112(2):e70277, 2025

Reference 12

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This paper cites Numerical analysis of the ldg method for large deformations of prestrained plates.IMA Journal of Numerical Analysis, 43(2):627–662, 2023.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Numerical analysis of the ldg method for large deformations of prestrained plates.IMA Journal of Numerical Analysis, 43(2):627–662, 2023

Reference 13

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Observation d1fc817b-df1c-4a31-8607-71049e4e19c7 · outbound

This paper cites Dg approach to large bending plate deformations with isometry constraint.Mathematical Models and Methods in Applied Sciences, 31(01):133–175, 2021.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Dg approach to large bending plate deformations with isometry constraint.Mathematical Models and Methods in Applied Sciences, 31(01):133–175, 2021

Reference 14

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On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Unresolved cited work

Reference 15

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Observation f5fd785e-4b16-46eb-92f5-5ffc1dccd582 · outbound

This paper cites De Bure Frères, 1828.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints De Bure Frères, 1828

Reference 16

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This paper cites Springer, 1997.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Springer, 1997

Reference 17

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Observation eb9f1fef-709e-4f0d-8447-1a3333ec53b2 · outbound

This paper cites A variational theory for integral functionals involving finite-horizon fractional gradients.Fractional Calculus and Applied Analysis, pages 1–56, 2023.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints A variational theory for integral functionals involving finite-horizon fractional gradients.Fractional Calculus and Applied Analysis, pages 1–56, 2023

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Observation c9e6c554-7767-4070-bc35-533c5d9941af · outbound

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On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Unresolved cited work

Reference 19

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Observation 8567e5a6-d5fc-4de6-a1aa-21094c19c919 · outbound

This paper cites Localization for nonlocal gradient-based optimal control problems.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Localization for nonlocal gradient-based optimal control problems

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Observation 2f4a35a0-f938-497e-bf4e-1fb8ae6de552 · outbound

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On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Springer Science & Business Media, 2007

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Observation 00a3593f-890b-425e-9812-fd5e746e3c25 · outbound

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On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Springer Science & Business Media, 2012

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Observation 20a3248c-0f30-43ba-a6e4-75b16b2db1e0 · outbound

This paper cites Optimal distributed control of nonlocal steady diffusion problems.SIAM Jour- nal on Control and Optimization, 52(1):243–273, 2014.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Optimal distributed control of nonlocal steady diffusion problems.SIAM Jour- nal on Control and Optimization, 52(1):243–273, 2014

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Observation dd8581f7-d31d-4c04-979f-d575a67eadac · outbound

This paper cites Springer Science & Business Media, 2007.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Springer Science & Business Media, 2007

Reference 24

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Observation 5976caf2-9854-48fc-a9d2-a9f25835a9e7 · outbound

This paper cites Relaxation of quasiconvex functionals in BV(ω, p)for integrandsf(x, u,∇u).Arch.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Relaxation of quasiconvex functionals in BV(ω, p)for integrandsf(x, u,∇u).Arch

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Observation 5b2ec1f0-fca4-4055-a693-e768505dfa88 · outbound

This paper cites On the formulation of constitutive equations in thermodynamical theories of continua.The Quarterly Journal of Mechanics and Applied Mathematics, 20(3):265–275, 1967.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints On the formulation of constitutive equations in thermodynamical theories of continua.The Quarterly Journal of Mechanics and Applied Mathematics, 20(3):265–275, 1967

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Observation d0f1895b-4bcc-448a-8be4-5e289b0c4575 · outbound

This paper cites Convergence of Discontinuous Galerkin Methods for Quasiconvex and Relaxed Variational Problems.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Convergence of Discontinuous Galerkin Methods for Quasiconvex and Relaxed Variational Problems

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Observation ab878600-ce0f-4107-95a9-9e4195898698 · outbound

This paper cites Springer Science & Business Media, 2008.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Springer Science & Business Media, 2008

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Observation 33f3daed-4629-46a3-a2d7-1fd2b3e87748 · outbound

This paper cites Non-constant functions with zero nonlocal gradient and their role in nonlocal neumann-type problems.Nonlinear Analysis, 249:113642, 2024.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Non-constant functions with zero nonlocal gradient and their role in nonlocal neumann-type problems.Nonlinear Analysis, 249:113642, 2024

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Observation f9de85af-7628-47f7-aa42-8d033855364e · outbound

This paper cites Torres Ledesma.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Torres Ledesma

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Observation b6bb042d-82c1-4608-9fb7-f79f3bbafad2 · outbound

This paper cites Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals

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Observation 96fd7f3c-4ecb-4299-9761-c3d25fed2579 · outbound

This paper cites Nonlocal Korn-type characterization of Sobolev vector fields.Communications in Contempo- rary Mathematics, 14(04):1250028, 2012.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Nonlocal Korn-type characterization of Sobolev vector fields.Communications in Contempo- rary Mathematics, 14(04):1250028, 2012

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Observation e3a0b2e3-43f6-411b-9b0f-f56fb3209078 · outbound

This paper cites The bond-based peridynamic system with Dirichlet-type volume constraint.Pro- ceedings of the royal society of Edinburgh section A: mathematics, 144(1):161–186, 2014.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints The bond-based peridynamic system with Dirichlet-type volume constraint.Pro- ceedings of the royal society of Edinburgh section A: mathematics, 144(1):161–186, 2014

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Observation 8abc7c41-367b-4ec0-a71e-4820d6cace50 · outbound

This paper cites On the variational limit of a class of nonlocal functionals related to peridynamics.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints On the variational limit of a class of nonlocal functionals related to peridynamics

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Observation 79a7f952-7ca2-47a1-992b-a35e9588ae17 · outbound

This paper cites Salgado, and Joshua M.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Salgado, and Joshua M

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Observation 35356ac0-19ee-4daf-a8c7-209b9b628c7d · outbound

This paper cites Asymptotic compatibility of parametrized optimal design problems.ESAIM: Mathematical Modelling and Numerical Analysis, 59(6):3069–3105, 2025.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Asymptotic compatibility of parametrized optimal design problems.ESAIM: Mathematical Modelling and Numerical Analysis, 59(6):3069–3105, 2025

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Observation e82ed434-b41d-429a-a008-2052300aabbb · outbound

This paper cites Quasi-convexity and lower semi-continuity of multiple variational integrals of any order.Trans- actions of the American Mathematical Society, 119(1):125–149, 1965.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Quasi-convexity and lower semi-continuity of multiple variational integrals of any order.Trans- actions of the American Mathematical Society, 119(1):125–149, 1965

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Observation 4b7357ee-7e77-4bd8-a3f9-ee6bd788eb37 · outbound

This paper cites Quasi-convexity and the lower semicontinuity of multiple integrals.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Quasi-convexity and the lower semicontinuity of multiple integrals

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source=pdf_text observed=2026-08-01T06:42:32.666984Z digest=sha256:4d8c0b15e3e7d837dd17600903014ddbfaae0bd862031981cbfb9c7ac87e90ce

Observation 19abbfbe-09c7-445f-8fe8-6d9ddf4fac0a · outbound

This paper cites Local and nonlocal optimal control in the source.Mediterranean Journal of Mathematics, 19(1):1– 24, 2022.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Local and nonlocal optimal control in the source.Mediterranean Journal of Mathematics, 19(1):1– 24, 2022

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Observation e61b36bb-20fa-4438-9a84-f958bb81251b · outbound

This paper cites Rindler.Calculus of Variations, First Edition.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Rindler.Calculus of Variations, First Edition

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Observation 03fec21e-1493-467e-b936-cedf8cef47a1 · outbound

This paper cites PhD thesis, Katholische Universität Eichstätt-Ingolstadt, 2024.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints PhD thesis, Katholische Universität Eichstätt-Ingolstadt, 2024

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Observation 7e9e3158-953b-449d-a005-17a9622c7ac0 · outbound

This paper cites A fractional korn-type inequality.Discrete and Continuous Dynamical Systems, 39(6):3315–3343, 2019.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints A fractional korn-type inequality.Discrete and Continuous Dynamical Systems, 39(6):3315–3343, 2019

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source=pdf_text observed=2026-08-01T06:42:33.018611Z digest=sha256:522f88dea4e891e4d74a0b533e3f80479a062589a8d9f304d9a1b289c2ddd6c1

Observation c77ff6d3-096d-4ac8-a2ae-41358eb05f04 · outbound

This paper cites Mountain pass solutions for non-local elliptic operators.Journal of Math- ematical Analysis and Applications, 389(2):887–898, 2012.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Mountain pass solutions for non-local elliptic operators.Journal of Math- ematical Analysis and Applications, 389(2):887–898, 2012

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Observation bd5c9b5e-2d7a-4182-9610-ea3ff1733d90 · outbound

This paper cites Variational methods for non-local operators of elliptic type.Discrete & Continuous Dynamical Systems, 33(5):2105–2137, 2013.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Variational methods for non-local operators of elliptic type.Discrete & Continuous Dynamical Systems, 33(5):2105–2137, 2013

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Observation 01d2cd3f-cef2-4779-b4d9-e478e0814fe5 · outbound

This paper cites Existence of Solutions for Fractional Optimal Control Problems with Superlinear-subcritical Controls.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Existence of Solutions for Fractional Optimal Control Problems with Superlinear-subcritical Controls

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Observation 21d727cc-a03a-4164-9ca7-01dafb063dd5 · outbound

This paper cites Reformulation of elasticity theory for discontinuities and long-range forces.Journal of the Mechanics and Physics of Solids, 48(1):175–209, 2000.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Reformulation of elasticity theory for discontinuities and long-range forces.Journal of the Mechanics and Physics of Solids, 48(1):175–209, 2000

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Observation d226b228-c47e-4240-a8d5-8b8b64d39af8 · outbound

This paper cites Peridynamic states and consti- tutive modeling.Journal of Elasticity, 88(2):151–184, 2007.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Peridynamic states and consti- tutive modeling.Journal of Elasticity, 88(2):151–184, 2007

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source=pdf_text observed=2026-08-01T06:42:33.421309Z digest=sha256:c3522875bf53714b97eaa8c2bdc1bca5eb7d52a1dd48ef3209c67f5d6df0ccc6

Observation 0f239468-e4e5-438d-9372-aae48f05842a · outbound

This paper cites Peridynamic modeling of membranes and fibers.International Journal of Non-Linear Mechanics, 40(2-3):395–409, 2005.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints Peridynamic modeling of membranes and fibers.International Journal of Non-Linear Mechanics, 40(2-3):395–409, 2005

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source=pdf_text observed=2026-08-01T06:42:33.489666Z digest=sha256:4649cb227468681c2cc5c138cc6fae7f51b3938538d7f6c510bc9d92536da1e8

Observation eafb6e0e-7906-4823-ba20-421f0fa2781b · outbound

This paper cites American Mathematical Soc., 2010.

On convergence of solutions to nonlocal optimal control problems with quasi-minimization constraints American Mathematical Soc., 2010

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