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Noncoercive variational inequalities with application to friction problems

Published online by Cambridge University Press:  14 November 2011

P. Shi  and
M. Shillor
P. Shi
Affiliation:
Department of Mathematical Sciences, Oakland University, Rochester, MI 48309, U.S.A.
M. Shillor
Affiliation:
Department of Mathematical Sciences, Oakland University, Rochester, MI 48309, U.S.A.
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Synopsis

Noncoercive variational inequalities with sublinear functionals are considered. Necessary and sufficient conditions are given for the solvability of such problems. These conditions are in the form of compatibility conditions-for the data, as well as the boundedness of the solutions to related problems. These results are used for the obstacle problems for the membrance and the elastic contact in the presence of friction.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 117 , Issue 3-4 , 1991 , pp. 275 - 293
Copyright
Copyright © Royal Society of Edinburgh 1991

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