The conformal plate buckling equation

Details The conformal plate buckling equation The conformal plate buckling equation

2001-04-18

arxiv.org/abs/math/0104183v1

Commun. Pure Appl. Math. vol.55, p.509-535 (2002)

Mathematics

Analysis of PDEs

27 pages, 3 Figures, submitted

Scientific paper

We 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.

Affiliated with

Also associated with

No associations

Rating

The conformal plate buckling equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The conformal plate buckling equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The conformal plate buckling equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-564533