Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T00:24:50.713675Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 100 of 111 outbound references and 2 inbound Pith citation observations for arXiv:2501.18234.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T00:24:50.713675Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T00:03:59.430890Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T08:30:56.778766Z
100 of 111 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ea6d012c-1680-4fae-8f55-1f973bb69e5e · outbound
Existence and uniqueness of solutions to Liouville equation Aharonov and A
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42e3259a-d18d-4d6d-8ef4-fd78ebe15ef1 · outbound
Existence and uniqueness of solutions to Liouville equation Ahlfor, An extension of Schwarz's lemma
Reference 2
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Unavailable: canonical work link unavailable.
Observation fac38a52-26dc-4a4f-877c-d52cd2150c6a · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1dca4d2b-ae2e-4b4a-8268-9bc753935ed7 · outbound
Existence and uniqueness of solutions to Liouville equation A generalized Liouville equation and magnetic stability
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 12338c96-eda9-4f1c-95c2-80994b0041d7 · outbound
Existence and uniqueness of solutions to Liouville equation Aviles, Conformal complete metrics with prescribed nonnegative Gaussian curvature in ^2
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3d5f9b4-8a8d-4647-b1ee-708a8496f17c · outbound
Existence and uniqueness of solutions to Liouville equation Bartolomei et al, Fractional statistics in anyon collisions
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation acec5dbe-92e9-4cdb-a022-e49ee97b3008 · outbound
Existence and uniqueness of solutions to Liouville equation Bartolucci, F
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e743f577-ea8b-4e6c-9a14-1412f4c9f0e1 · outbound
Existence and uniqueness of solutions to Liouville equation Bartolucci and F
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0386dd41-5bfb-4ee6-bf32-ed3891953558 · outbound
Existence and uniqueness of solutions to Liouville equation Bartolucci, A
Reference 9
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Unavailable: canonical work link unavailable.
Observation 53e0174b-c5ef-42e3-872f-336c5adc08c1 · outbound
Existence and uniqueness of solutions to Liouville equation Bartolucci and E
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33dd2dca-4055-4bb0-848c-be1c7903e519 · outbound
Existence and uniqueness of solutions to Liouville equation Bartolucci and G
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0ef30737-73a6-4b9d-b440-38b306f43323 · outbound
Existence and uniqueness of solutions to Liouville equation Bartolucci and G
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c20078dc-216a-46c2-a835-06493328359e · outbound
Existence and uniqueness of solutions to Liouville equation Asymptotic Analysis and Uniqueness of blowup solutions of non-quantized singular mean field equations
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40c969f7-2d72-44f6-9088-bfce8edf20a3 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7a7af3b5-6c23-4186-88f9-d18b8c2ce428 · outbound
Existence and uniqueness of solutions to Liouville equation Brezis and F
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 32dd5583-0025-45e6-9d8a-c647ea1315db · outbound
Existence and uniqueness of solutions to Liouville equation Caglioti, P.-L
Reference 16
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Unavailable: canonical work link unavailable.
Observation a4a06f56-0cd3-4368-acbb-6a7a5ba6abe2 · outbound
Existence and uniqueness of solutions to Liouville equation Caglioti, P.-L
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26a0ac03-12cf-481a-922c-7f5ed6ccaa8a · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fc13ad9-042b-4145-96fb-89b242399445 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 19
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Unavailable: canonical work link unavailable.
Observation a87b6cff-d1ae-4e64-895e-1364db417912 · outbound
Existence and uniqueness of solutions to Liouville equation Chanillo and M
Reference 20
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Unavailable: canonical work link unavailable.
Observation f190ac51-78c7-4c91-8862-d21a7c70d435 · outbound
Existence and uniqueness of solutions to Liouville equation Chanillo, M
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa75e293-221c-4942-93df-cd4a3eba6648 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 865456ab-ebf4-410d-ac18-e0115259f073 · outbound
Existence and uniqueness of solutions to Liouville equation Chen and C
Reference 23
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Unavailable: canonical work link unavailable.
Observation 831908f9-7430-43c4-8e0e-4cf51ad497e7 · outbound
Existence and uniqueness of solutions to Liouville equation Chen and C
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9884b91-0376-49fd-816e-57203cdef564 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c05e632-34b0-478f-82fa-7803208a7d66 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 26
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Unavailable: canonical work link unavailable.
Observation e6a8dd29-b9db-4801-bc52-169d527ecc12 · outbound
Existence and uniqueness of solutions to Liouville equation Chen, C.S
Reference 27
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Unavailable: canonical work link unavailable.
Observation 306ff85a-f81f-4978-87e0-b70955cce949 · outbound
Existence and uniqueness of solutions to Liouville equation Chen, C.S
Reference 28
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Unavailable: canonical work link unavailable.
Observation 34cf088b-7a47-4406-86c5-94b1c5d01675 · outbound
Existence and uniqueness of solutions to Liouville equation Chen, C.S
Reference 29
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Unavailable: canonical work link unavailable.
Observation 76c7f852-edb2-4bab-83bf-5877288e4cbf · outbound
Existence and uniqueness of solutions to Liouville equation Chen, C.S
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35142b4c-22e8-473d-b5a8-6048dcdbb702 · outbound
Existence and uniqueness of solutions to Liouville equation Chen, C.S
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ecdf2269-7736-4f16-9cf4-9bc2930ed0fc · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 32
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Unavailable: canonical work link unavailable.
Observation dcdfcdbb-c7bf-476d-aa25-2d34c8b99f98 · outbound
Existence and uniqueness of solutions to Liouville equation Cheng and C.-S
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 24bc1e19-63b6-4c79-9929-8c9ca0639fbc · outbound
Existence and uniqueness of solutions to Liouville equation Cheng and C.-S
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d78a5b9e-5cc4-48dc-8fa7-312d467e4d1e · outbound
Existence and uniqueness of solutions to Liouville equation Cheng and C.-S
Reference 35
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4c7103c8-a942-4e10-a6e5-9c3315173573 · outbound
Existence and uniqueness of solutions to Liouville equation Cheng and C.-S
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e12a1a62-dd02-431d-a789-54d3ecf8f6c3 · outbound
Existence and uniqueness of solutions to Liouville equation Cheng and C.-S
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5b9128b1-32bd-4003-ba31-bc0d6226e1e3 · outbound
Existence and uniqueness of solutions to Liouville equation Cheng and W.-M
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 292cefdd-fcd0-4cae-9063-fdeea29d7c26 · outbound
Existence and uniqueness of solutions to Liouville equation Cheng and W.-M
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8dc27c17-9f75-451b-bfb4-1137b06240ae · outbound
Existence and uniqueness of solutions to Liouville equation Correggi, D
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4971704f-c36e-4708-a012-8bc129b74373 · outbound
Existence and uniqueness of solutions to Liouville equation Correggi, D
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 056dd675-93e1-4d7a-8e96-31d7171c4ee3 · outbound
Existence and uniqueness of solutions to Liouville equation Crandall, H
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3766d140-fbe8-407c-abb2-5fa78bc3021e · outbound
Existence and uniqueness of solutions to Liouville equation Dunne, Self-dual C hern- S imons theories , vol
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 068316d8-61fd-4fc8-993a-56da47210d61 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2c325079-0569-461d-b009-bb5008a900a5 · outbound
Existence and uniqueness of solutions to Liouville equation Eremenko, Metrics of positive curvature with conic singularities on the sphere
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b6d4a694-10be-4e7d-bec1-67729ffc4515 · outbound
Existence and uniqueness of solutions to Liouville equation Eremenko, Metrics of constant positive curvature with four conic singularities on the sphere
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b74f5626-8800-49d5-9854-519538d3be8c · outbound
Existence and uniqueness of solutions to Liouville equation Metrics of constant positive curvature with conic singularities. A survey
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8f5ba52d-a6de-4073-976f-f0ac62330798 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 48b75126-ae96-48be-81fc-fdba140a53fb · outbound
Existence and uniqueness of solutions to Liouville equation Eyink, H
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7f68d01f-81f7-4cf2-a77e-fcef1c498213 · outbound
Existence and uniqueness of solutions to Liouville equation Eyink, K.R
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 03a11123-5811-4d4c-a9c1-7ac40655bb45 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0445767b-b8d1-4dfc-b844-5c13c9c41c60 · outbound
Existence and uniqueness of solutions to Liouville equation Ezawa, M
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation be3533e5-a618-4c2c-bb4a-0b0e349883fe · outbound
Existence and uniqueness of solutions to Liouville equation Gilbarg and N
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 41f85111-64e9-435f-b3aa-5f67b53b9e9a · outbound
Existence and uniqueness of solutions to Liouville equation Gluck, Asymptotic behavior of blow-up solutions to a class of prescribing Gauss curvature equations
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b1a8c7f1-8334-496e-a39c-43caed8ed11b · outbound
Existence and uniqueness of solutions to Liouville equation Goldin, R
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7b585f1e-e192-413a-8f6c-7d9c745b95a7 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7b07e6b8-ce99-4a39-9f9f-928c7334fbd9 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4c2816eb-cc80-4dc7-8a4b-8e8703e771ad · outbound
Existence and uniqueness of solutions to Liouville equation Hlousek and D
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bf957cfb-100a-4320-944a-dca67d0f139a · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 51461837-c1c8-4f5e-83ab-193b48180598 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 71a56183-6e2f-46ef-b85a-e834d64d4192 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation de7cd269-f7fe-4c9a-a9f5-a36f2b14bd1a · outbound
Existence and uniqueness of solutions to Liouville equation Iengo and K
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2e902676-a5cb-4094-94ea-7d30bfb4d19e · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7f1b2864-2230-431a-befe-cd9756233d9d · outbound
Existence and uniqueness of solutions to Liouville equation Jackiw and E
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 28a26382-0baf-40bf-9f73-520796135e39 · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d58251ec-8a3b-47e4-bad6-26f960fec9f6 · outbound
Existence and uniqueness of solutions to Liouville equation Kiessling, Statistical mechanics of classical particles with logarithmic interactions
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e09e7c45-7af4-4bd8-a922-01f97de654d3 · outbound
Existence and uniqueness of solutions to Liouville equation Kiessling and J.L
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 628b3056-f9b4-46ee-8906-70dc49cbb45b · outbound
Existence and uniqueness of solutions to Liouville equation Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ef0be4b3-6884-4203-a1d3-5fc9428d347b · outbound
Existence and uniqueness of solutions to Liouville equation Li, Harnack type inequality: the method of moving planes, Comm
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 222eca14-1632-4095-9b27-5b192afbf198 · outbound
Existence and uniqueness of solutions to Liouville equation Li, A Liouville-type theorem in conformally invariant equations
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 15af358f-4eba-48a1-b1ba-3ed6048b298b · outbound
Existence and uniqueness of solutions to Liouville equation Li and I
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 06507275-589b-4e76-81d0-c076a2c8cf97 · outbound
Existence and uniqueness of solutions to Liouville equation Lin, Uniqueness of solutions to the mean field equations for the spherical Onsager vortex
Reference 72
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0a0b2d4b-dc98-42a9-90a3-99dfd51c9411 · outbound
Existence and uniqueness of solutions to Liouville equation Liouville, Sur lequation aux differences partielles ^2 z z 2 a^2 =0 , Journal de math \'e matiques pures et appliqu \'e es 18 (1853), 71--72
Reference 73
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fae44011-2bb5-47a0-8f8b-e4901b511814 · outbound
Existence and uniqueness of solutions to Liouville equation Lundholm, Properties of 2d anyon gas, Encyclopedia of Condensed Matter Physics (Second Edition) (T
Reference 74
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation bc9e31a4-c75b-46e6-ada1-b71239ade4be · outbound
Existence and uniqueness of solutions to Liouville equation McOwen, On the equation u + Ke^ 2u = f and prescribed negative curvature in ^2 , J
Reference 75
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c515ff86-b11b-427e-93cb-978a7d02895a · outbound
Existence and uniqueness of solutions to Liouville equation McOwen, Conformal metrics in ^2 with prescribed Gaussian curvature and positive total curvature
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 297d4615-1c50-4c60-a7f3-d9ee1c769c8e · outbound
Existence and uniqueness of solutions to Liouville equation Moser, A sharp form of an inequality by N
Reference 77
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0b9d2a27-bd4b-4415-a65e-ac6342500382 · outbound
Existence and uniqueness of solutions to Liouville equation Nakamura, S
Reference 78
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 43901961-3071-4de8-8e76-56b81360dc12 · outbound
Existence and uniqueness of solutions to Liouville equation Ni, On the elliptic equation u + K(x) u^ n+2 n-2 = 0, its generalizations and applications to geometry, Indiana Univ
Reference 79
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ca0cf887-6102-47ea-9de3-7e317a8e3f75 · outbound
Existence and uniqueness of solutions to Liouville equation Ni, On the elliptic equation u + K(x)e^ 2u = 0 and conformal metrics with prescribed Gaussian curvatures
Reference 80
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d36068a5-827e-474a-a66a-70767fd5841f · outbound
Existence and uniqueness of solutions to Liouville equation Onsager, Statistical hydrodynamics, Nuovo Cimento 6(2) (1949), 279--287
Reference 81
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 582e1469-48bf-4a95-bd87-631ef309ef2f · outbound
Existence and uniqueness of solutions to Liouville equation Picard, De lequation u = e^u , J
Reference 82
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 21f29790-2593-46ee-9ecf-b93c1411faa1 · outbound
Existence and uniqueness of solutions to Liouville equation Picard, De lintegration de alequation u = e^u sur une surface de Riemann fermee, J
Reference 83
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2c964947-9c2d-437f-8a42-03caad980622 · outbound
Existence and uniqueness of solutions to Liouville equation Polvani and D
Reference 84
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7b5e52eb-d33d-43a0-b29a-7266ec9d3d19 · outbound
Existence and uniqueness of solutions to Liouville equation Prajapat and G
Reference 85
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e0616610-3032-4d5d-a8e1-30e96ddf8dbf · outbound
Existence and uniqueness of solutions to Liouville equation Rajaratnam and I
Reference 86
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