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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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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
CreatorsMoser, R.
DOI10.1512/iumj.2008.57.3385
Related URLs
URLURL Type
http://www.iumj.indiana.edu/IUMJ/FULLTEXT/2008/57/3385Free Full-text
Uncontrolled Keywordsp-harmonic, inverse mean curvature flow, obstacle problem
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code12465

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