Partial Regularity for Stationary Solutions to Liouville-Type Equation in dimension 3

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dc.creatorDa Lio, Francesca
dc.date2008-02-12
dc.date.accessioned2026-07-07T09:20:13Z
dc.date.available2026-07-07T09:20:13Z
dc.descriptionIn dimension $n=3$, we prove that the singular set of any stationary solution to the Liouville equation $-Δu=e^u$, which belongs to $W^{1,2}$, has Hausdorff dimension at most 1.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0802.1597
dc.identifierhttp://arxiv.org/abs/0802.1597
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154650
dc.subjectAnalysis of PDEs
dc.subject35D10, 35J60
dc.titlePartial Regularity for Stationary Solutions to Liouville-Type Equation in dimension 3
dc.typetext

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