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

Vy Khoi Le

doi:10.1007/s10587-008-0034-7

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

Vy Khoi Le

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Czechoslovak Mathematical Journal
DOIs	https://doi.org/10.1007/s10587-008-0034-7
State	Published - Jan 1 2007

Keywords

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

Disciplines

Mathematics
Statistics and Probability

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10.1007/s10587-008-0034-7License: Unspecified

On a Sub-supersolution Method for the Prescribed Mean Curvature PFinal published version, 257 KBLicense: Unspecified

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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.",

keywords = "enclosure, extremal solution, prescribed mean curvature problem, sub-supersolution, variational inequality",

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AB - 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.

KW - enclosure

KW - extremal solution

KW - prescribed mean curvature problem

KW - sub-supersolution

KW - variational inequality

UR - https://scholarsmine.mst.edu/math_stat_facwork/499

U2 - 10.1007/s10587-008-0034-7

DO - 10.1007/s10587-008-0034-7

M3 - Article

JO - Czechoslovak Mathematical Journal

JF - Czechoslovak Mathematical Journal

ER -

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

Abstract

Keywords

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