Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:49:10.895966Z
Paper Citation Record · LEDGER
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds
As of 19 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 2 inbound Pith citation observations for arXiv:2412.12889.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-10T00:37:59.027086Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-29T09:53:17.559455Z
Reference resolution
64 of 64 outbound references displayed
- verified exact36
- verified fuzzy2
- unresolved22
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External citation measurements
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Outbound references
Observation d8aab363-6642-4ae9-b7f4-6e6125c1795e · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 1
- Resolution
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- doi, observed 2026-08-11T13:49:11.881885Z
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Observation ebdce2fe-6c5d-4802-afa3-e1443d4ea75b · outbound
This paper cites Alberti, S.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Alberti, S
Reference 2
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- doi, observed 2026-08-11T13:49:11.864649Z
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Observation dea31ae6-e2ca-4298-b739-829df1490ccf · outbound
This paper cites Almgren, W.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Almgren, W
Reference 3
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- doi, observed 2026-08-11T13:49:11.845295Z
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Observation 971c91bd-bd25-4dd9-9e61-8a2b077ea251 · outbound
This paper cites Bernot, V.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Bernot, V
Reference 4
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- doi, observed 2026-08-11T13:49:11.827529Z
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Observation 0989ddcf-8a60-43f4-a3f1-8a6d43cc4e93 · outbound
This paper cites Bethuel, A characterization of maps in H 1(B3,S 2) which can be approximated by smooth maps, Ann.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Bethuel, A characterization of maps in H 1(B3,S 2) which can be approximated by smooth maps, Ann
Reference 5
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Unavailable: canonical work link unavailable.
Observation 9501ae83-b7be-4608-9015-0f014696544f · outbound
This paper cites Bethuel,The approximation problem for Sobolev maps between two manifolds, Acta Math.167 (1991), no.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Bethuel,The approximation problem for Sobolev maps between two manifolds, Acta Math.167 (1991), no
Reference 6
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- doi, observed 2026-08-11T13:49:11.796284Z
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Observation f9ce9d4a-d526-4a39-b6f0-56db09ddf6fa · outbound
This paper cites Fixed Point Theory Appl.15 (2014), no.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Fixed Point Theory Appl.15 (2014), no
Reference 7
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Observation 544cb598-e2e9-451d-94fe-eb87e260450a · outbound
This paper cites Math.219 (2020), no.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Math.219 (2020), no
Reference 8
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Observation 32729dfe-eda2-467a-81f9-addf2123c403 · outbound
This paper cites Bethuel and D.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Bethuel and D
Reference 9
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Observation f11a18f8-6155-4af6-bc23-1e7117fd43bd · outbound
This paper cites Bethuel and F.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Bethuel and F
Reference 10
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- doi, observed 2026-08-11T13:49:11.723532Z
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Observation 81c20396-339e-4cb4-8ac8-c67c50669195 · outbound
This paper cites Bethuel and X.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Bethuel and X
Reference 11
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- doi, observed 2026-08-11T13:49:11.705455Z
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Observation dc891a9d-ab71-4e89-a4f9-a96410e1297f · outbound
This paper cites Bourgain, H.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Bourgain, H
Reference 12
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Unavailable: canonical work link unavailable.
Observation eefa127f-f613-4ab6-be2c-a59c4f634e55 · outbound
This paper cites Bousquet, A.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Bousquet, A
Reference 13
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Observation c47d5a2d-0ebd-46cb-a3c3-7a7ce50dbe90 · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 14
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Observation 68ed1563-de70-406b-b10e-1519d488ba11 · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 15
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Observation 0b9271f8-06b3-4e39-a78d-71340837c39f · outbound
This paper cites Brezis and J.-M.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Brezis and J.-M
Reference 16
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Observation a7c8c465-a2a1-451b-800c-44d20b3268ff · outbound
This paper cites Brezis, J.-M.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Brezis, J.-M
Reference 17
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Observation a3004927-33ce-48a9-9198-b7bf1509f28b · outbound
This paper cites Brezis and P.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Brezis and P
Reference 18
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Observation 188e1c02-dd94-43a4-a109-b08209c381ff · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 19
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Observation 288907f0-25bc-4832-ba7d-5efc720f1206 · outbound
This paper cites Brezis and L.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Brezis and L
Reference 20
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Observation 2a452d40-9f0d-4f88-949b-b61b07a7d69e · outbound
This paper cites Canevari and G.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Canevari and G
Reference 21
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Observation 8a6715f9-93cc-4638-864c-755a4052e8cb · outbound
This paper cites Da Lio and T.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Da Lio and T
Reference 22
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Observation b4a1e497-4a6e-433d-aeae-bd264a1afbe8 · outbound
This paper cites Deny and J.-L.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Deny and J.-L
Reference 23
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- doi, observed 2026-08-11T13:49:11.518894Z
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Observation de85c273-3762-4fd6-8555-b321cff78a6a · outbound
This paper cites Detaille, A complete answer to the strong density problem in Sobolev spaces with values into compact manifolds(2023), available athttps://arxiv.org/abs/2305.12589.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Detaille, A complete answer to the strong density problem in Sobolev spaces with values into compact manifolds(2023), available athttps://arxiv.org/abs/2305.12589
Reference 24
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Observation 454cc9ee-cf8c-4955-83f3-c8ed5d84b1ff · outbound
This paper cites Eells and L.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Eells and L
Reference 25
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Observation c068cb97-3a0b-4cb6-ab45-77774d193204 · outbound
This paper cites Eells and J.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Eells and J
Reference 26
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- verified fuzzy
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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2717639d-9857-41df-9cc8-fe7f49a9496b · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 27
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- doi, observed 2026-08-11T13:49:11.488789Z
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Observation 1cb14286-3f64-4be9-a67e-bbfc54837b32 · outbound
This paper cites Gastel,Partial regularity of polyharmonic maps to targets of sufficiently simple topology, Z.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Gastel,Partial regularity of polyharmonic maps to targets of sufficiently simple topology, Z
Reference 28
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- doi, observed 2026-08-11T13:49:11.471156Z
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Observation 8a435490-ce32-46b2-8bba-f193f4328a86 · outbound
This paper cites Giaquinta, G.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Giaquinta, G
Reference 29
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- doi, observed 2026-08-11T13:49:11.454118Z
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Observation 4a14e9b2-4603-47f7-88ca-d660b12fefdd · outbound
This paper cites Hajłasz, Approximation of Sobolev mappings, Nonlinear Anal.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Hajłasz, Approximation of Sobolev mappings, Nonlinear Anal
Reference 30
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- doi, observed 2026-08-11T13:49:11.437511Z
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Observation ed6045e0-95f2-493a-84d6-bb11d09d9635 · outbound
This paper cites Hang,Density problems forW 1,1(M,N ), Comm.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Hang,Density problems forW 1,1(M,N ), Comm
Reference 31
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Observation 5b21ce83-5f13-4d6d-9df3-1486c0ff061e · outbound
This paper cites Hang and F.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Hang and F
Reference 32
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Observation 1c9395b0-0aa0-4073-b751-1364243c5864 · outbound
This paper cites III, Comm.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds III, Comm
Reference 33
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Observation 1aa2b72b-33f2-448d-be34-f049127382f2 · outbound
This paper cites Hardt and T.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Hardt and T
Reference 34
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- raw_fallback, observed 2026-08-11T13:49:12.405927Z
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Observation 51294e51-9c8e-46e4-a248-f93ed178640c · outbound
This paper cites 200 (2008), no.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds 200 (2008), no
Reference 35
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Observation 502bd47e-a766-4fa3-8ac1-7554300a3e8f · outbound
This paper cites Hardt and T.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Hardt and T
Reference 36
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Observation 9159ee42-1cc4-45c7-84da-25ebe32f53fb · outbound
This paper cites Hatcher,Algebraic topology, Cambridge University Press, Cambridge, 2002.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Hatcher,Algebraic topology, Cambridge University Press, Cambridge, 2002
Reference 37
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Unavailable: canonical work link unavailable.
Observation 2c4359fa-c85d-4720-ad84-241f944002e8 · outbound
This paper cites Hélein and J.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Hélein and J
Reference 38
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- doi, observed 2026-08-11T13:49:11.316584Z
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Observation 49a017c2-d0a9-408a-8759-0f9416ff4b48 · outbound
This paper cites Huang, Y.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Huang, Y
Reference 39
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Observation 8bf08421-3814-43be-870a-d2f5c41e3188 · outbound
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Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 40
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Observation 325a2106-2681-4827-a331-105282dfb264 · outbound
This paper cites Jost,Harmonic maps between surfaces, Lecture Notes in Mathematics, vol.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Jost,Harmonic maps between surfaces, Lecture Notes in Mathematics, vol
Reference 41
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Observation c27f6122-de15-4e2c-b7fe-03e2e6dee48e · outbound
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Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 42
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Observation ee4296cb-5bcd-4f8b-8905-af87449464e7 · outbound
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Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 43
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Observation 1bbf6c71-f946-41f2-bb1f-7ba1f0b39f2f · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 44
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Observation 75c2d183-345e-46b9-be10-347222d87681 · outbound
This paper cites Mironescu and J.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Mironescu and J
Reference 45
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Unavailable: canonical work link unavailable.
Observation de5b69e2-402a-4147-b70c-96e42a13fd1f · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 46
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Observation 1503aa17-c860-4ed4-a8c7-1e3f697153f9 · outbound
This paper cites Monteil and J.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Monteil and J
Reference 47
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Observation c42f441e-0271-4d35-874c-827944dcaa46 · outbound
This paper cites Nakauchi and S.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Nakauchi and S
Reference 48
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Observation a294a17b-bcf4-4871-ab6b-d7c3ac451e60 · outbound
This paper cites Nash,C 1 isometric imbeddings, Ann.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Nash,C 1 isometric imbeddings, Ann
Reference 49
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Unavailable: canonical work link unavailable.
Observation 34055da2-badf-481c-ba9a-e0b738333c9c · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 50
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Unavailable: canonical work link unavailable.
Observation 4eb2afb1-84e2-467a-9857-46b0cde4851c · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 51
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- doi, observed 2026-08-11T13:49:11.139242Z
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Observation 034cafea-7073-4b4c-9db2-ca1581c0d6cc · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 52
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Observation d2644f96-8e8e-4b03-a3e4-4106bdeb4395 · outbound
This paper cites Rivière,Minimizing fibrations andp-harmonic maps in homotopy classes fromS3 into S2, Comm.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Rivière,Minimizing fibrations andp-harmonic maps in homotopy classes fromS3 into S2, Comm
Reference 53
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Unavailable: canonical work link unavailable.
Observation 64d38565-688c-4bcb-ad12-b1fd442ae24c · outbound
This paper cites Runst,Mapping properties of nonlinear operators in spaces of Triebel-Lizorkin and Besov type, Anal.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Runst,Mapping properties of nonlinear operators in spaces of Triebel-Lizorkin and Besov type, Anal
Reference 54
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- doi, observed 2026-08-11T13:49:11.084571Z
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Observation aa6df02c-c96e-4ebe-ac9e-ef6272c8bd35 · outbound
This paper cites Sacks and K.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Sacks and K
Reference 55
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Unavailable: canonical work link unavailable.
Observation 2bde67d2-b056-4be6-a072-4e5515a17122 · outbound
This paper cites Sandier,Lower bounds for the energy of unit vector fields and applications, J.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Sandier,Lower bounds for the energy of unit vector fields and applications, J
Reference 56
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 28649317-cda4-4d88-9cdc-965715c3043e · outbound
This paper cites Sandier and S.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Sandier and S
Reference 57
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Observation 5fb1e8b0-66c6-4a00-b835-0fc6828bac4e · outbound
This paper cites Schoen and K.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Schoen and K
Reference 58
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Observation d2b5c4bd-1acd-4a18-b92a-41df0df2e55b · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 59
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Observation 72261ee7-3ebc-4a59-955f-021ace6be6ca · outbound
This paper cites Schikorra and J.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Schikorra and J
Reference 60
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- doi, observed 2026-08-11T13:49:11.017576Z
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Observation 15374271-b9e3-4bd4-802c-31dad8269c89 · outbound
This paper cites Urakawa,Geometry of biharmonic mappings: Differential geometry of variational methods, World Scientific, Hackensack, N.J., 2019, doi:10.1142/10886.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Urakawa,Geometry of biharmonic mappings: Differential geometry of variational methods, World Scientific, Hackensack, N.J., 2019, doi:10.1142/10886
Reference 61
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Observation a98b1982-e175-427d-a783-ec681a944230 · outbound
This paper cites White,Homotopy classes in Sobolev spaces and the existence of energy minimizing maps, Acta Math.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds White,Homotopy classes in Sobolev spaces and the existence of energy minimizing maps, Acta Math
Reference 62
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Observation 99ee0de3-cf9c-498d-862a-3171dd2c42df · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 63
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Observation ec26f096-b7c3-4b1d-90a0-49269a483858 · outbound
This paper cites an unresolved cited work.
Analytical obstructions to the weak approximation of Sobolev mappings into manifolds Unresolved cited work
Reference 64
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Pith citing papers
Observation 135ce5e5-00f2-4fda-a7cd-2a3029c20c3b · inbound
Generic topological screening and approximation of Sobolev maps cites this paper.
Generic topological screening and approximation of Sobolev maps Analytical obstructions to the weak approximation of Sobolev mappings into manifolds
Reference 36
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Observation aece2c29-9744-4107-bb2d-de85c7a77a6e · inbound
Topological singular set of manifold-valued maps weakly approximable by smooth maps cites this paper.
Topological singular set of manifold-valued maps weakly approximable by smooth maps Analytical obstructions to the weak approximation of Sobolev mappings into manifolds
Reference 28
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