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On a sub-supersolution method for the prescribed mean curvature problem
Authors:Vy khoi Le
Affiliation:(1) Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, MO 65409, USA
Abstract:The paper is about a sub-supersolution method for the prescribed mean curvature problem. We formulate the problem as a variational inequality and propose appropriate concepts of sub-and supersolutions for such inequality. Existence and enclosure results for solutions and extremal solutions between sub-and supersolutions are established.
Keywords:variational inequality  sub-supersolution  enclosure  extremal solution  prescribed mean curvature problem
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