On a sub-supersolution method for the prescribed mean curvature problem |
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Authors: | Vy khoi Le |
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Affiliation: | (1) Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla, MO 65409, USA |
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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. |
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Keywords: | variational inequality sub-supersolution enclosure extremal solution prescribed mean curvature problem |
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