Abstract
We consider the evolution equations Ft = -(H-1)αν, where 0 < α < 1, ν is the unit outer normal vector and H-1 is the harmonic mean curvature defined by H-1 = ((κ1-1 + κ2-1)/2)-1. In this paper, we prove the nonuniqueness of their strictly convex self similar solutions for some 0 < α < 1. This result implies that there are non-spherical self similar solutions.
Original language | English |
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Pages (from-to) | 109-116 |
Number of pages | 8 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 12 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2001 Mar |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics