Abstract
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.
Citation
Xuan Hien Nguyen. "Construction of complete embedded self-similar surfaces under mean curvature flow. Part II." Adv. Differential Equations 15 (5/6) 503 - 530, May/June 2010. https://doi.org/10.57262/ade/1355854679
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