Geodesic
On a sub-supersolution method for the prescribed mean curvature problem
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 541-560

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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.
Classification : 35J25, 35J60, 35J85, 47H30, 47J20, 53A10
Keywords: variational inequality; sub-supersolution; enclosure; extremal solution; prescribed mean curvature problem 
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     author = {Le, Vy Khoi},
     title = {On a sub-supersolution method for the prescribed mean curvature problem},
     journal = {Czechoslovak Mathematical Journal},
     pages = {541--560},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {2008},
     mrnumber = {2411108},
     zbl = {1174.35052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a17/}
}
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Le, Vy Khoi. On a sub-supersolution method for the prescribed mean curvature problem. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 541-560. http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a17/