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.
V. K. Le, "On a Sub-supersolution Method for the Prescribed Mean Curvature Problem," Czechoslovak Mathematical Journal, Springer Verlag, Jan 2007.
The definitive version is available at https://doi.org/10.1007/s10587-008-0034-7
Mathematics and Statistics
Keywords and Phrases
enclosure; extremal solution; prescribed mean curvature problem; sub-supersolution; variational inequality
International Standard Serial Number (ISSN)
Article - Journal
© 2007 Springer Verlag, All rights reserved.
01 Jan 2007