The inverse mean curvature flow as an obstacle problem
Moser, R., 2008. The inverse mean curvature flow as an obstacle problem. Indiana University Mathematics Journal, 57 (5), pp. 2235-2256.
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The inverse mean curvature flow is a geometric evolution problem that is turned into a degenerate elliptic problem by a level set formulation. In the latter form, it may be regarded as a special case of an obstacle problem. In this paper, solutions of the problem are constructed with an approximation by p-harmonic functions and the use of appropriate barrier functions. This also extends the known existence results for weak solutions of the inverse mean curvature flow.
|Uncontrolled Keywords||p-harmonic, inverse mean curvature flow, obstacle problem|
|Departments||Faculty of Science > Mathematical Sciences|
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