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Missouri University of Science and Technology
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On A Sub-Supersolution Method For The Prescribed Mean Curvature Problem, Vy Khoi Le
On A Sub-Supersolution Method For The Prescribed Mean Curvature Problem, Vy Khoi Le
Mathematics and Statistics Faculty Research & Creative Works
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.