M. Kiessling

activity

19982001

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math.AP2001

The conformal plate buckling equation

Sagun Chanillo, Michael K. -H. Kiessling

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.…

math.AP1999

Surfaces with radially symmetric prescribed Gauss curvature

Sagun Chanillo, Michael K. -H. Kiessling

We study conformally flat surfaces with prescribed Gaussian curvature, described by solutions $u$ of the PDE: $Δ u (x) + K (x) exp (2 u (x)) = 0$ , with $K (x)$ the Gauss curvature function at…

math.AP1998

Curl-Free Ginzburg-Landau Vortices

Sagun Chanillo, Michael Kiessling

For certain nonlinear elliptic PDE problems in two dimensions, the classical isoperimetric inequality produces a sharp inequality that violates a Pohozaev identity except for radia…