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Keywords:
variational inequality; sub-supersolution; enclosure; extremal solution; prescribed mean curvature problem
variational inequality; sub-supersolution; enclosure; extremal solution; prescribed mean curvature problem
Summary:
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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