# The inverse mean curvature flow as an obstacle problem

### Reference:

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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### Official URL:

http://dx.doi.org/10.1512/iumj.2008.57.3385

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### Abstract

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.

### Details

Item Type | Articles | ||||||

Creators | Moser, R. | ||||||

DOI | 10.1512/iumj.2008.57.3385 | ||||||

Related URLs |
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Uncontrolled Keywords | p-harmonic,inverse mean curvature flow,obstacle problem | ||||||

Departments | Faculty of Science > Mathematical Sciences | ||||||

Refereed | Yes | ||||||

Status | Published | ||||||

ID Code | 12465 |

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