The conformal plate buckling equation

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dc.creatorChanillo, Sagun
dc.creatorKiessling, Michael K. -H.
dc.date2001-04-18
dc.date.accessioned2026-07-07T06:33:51Z
dc.date.available2026-07-07T06:33:51Z
dc.descriptionWe study the conformal plate buckling equation (Laplace--Beltrami)^2 u =1, where the L-B operator is for the metric g = e^{2u}g_0, with $g_0$ the standard Euclidean metric on R^2. This conformal elliptic PDE of fourth order is equivalent to the nonlinear system of elliptic PDEs of second order, Delta u +K_g e^(2u)=0, Delta K_g + e^(2u)=0, with x in R^2, describing a conformally flat surface with a Gauss curvature function K_g that is generated self-consistently through the metric's conformal factor.
dc.description27 pages, 3 Figures, submitted
dc.identifierhttps://arxiv.org/abs/math/0104183
dc.identifierhttp://arxiv.org/abs/math/0104183
dc.identifierCommun. Pure Appl. Math. vol.55, p.509-535 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99330
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35J30; 53C21
dc.titleThe conformal plate buckling equation
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