Title

On a Sub-supersolution Method for the Prescribed Mean Curvature Problem

Abstract

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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

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

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2007 Springer Verlag, All rights reserved.

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