The inverse mean curvature flow as an obstacle problem Roger Moser 53C4435J60inverse mean curvature flowobstacle problem$p$-harmonic 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. Indiana University Mathematics Journal 2008 text pdf 10.1512/iumj.2008.57.3385 10.1512/iumj.2008.57.3385 en Indiana Univ. Math. J. 57 (2008) 2235 - 2256 state-of-the-art mathematics http://iumj.org/access/