On a sub-supersolution method for the prescribed mean curvature problem

Le, Vy Khoi

Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 541-560

Abstract (VO)

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.

Détail

Classification : 35J25, 35J60, 35J85, 47H30, 47J20, 53A10
Keywords: variational inequality; sub-supersolution; enclosure; extremal solution; prescribed mean curvature problem

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