Advances in Differential Equations
- Adv. Differential Equations
- Volume 15, Number 5/6 (2010), 503-530.
Construction of complete embedded self-similar surfaces under mean curvature flow. Part II
We study the Dirichlet problem associated to the equation for self-similar surfaces under mean curvature flow for graphs over the Euclidean plane with a disk removed. We show the existence of a solution provided the boundary conditions on the boundary circle are small enough and satisfy some symmetries.
Adv. Differential Equations Volume 15, Number 5/6 (2010), 503-530.
First available in Project Euclid: 18 December 2012
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Nguyen, Xuan Hien. Construction of complete embedded self-similar surfaces under mean curvature flow. Part II. Adv. Differential Equations 15 (2010), no. 5/6, 503--530. https://projecteuclid.org/euclid.ade/1355854679.