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On the regularity of solutions to quasi-linear variational inequalities of degenerate elliptic type*

Published online by Cambridge University Press:  14 February 2012

Frances Cooper
Frances Cooper
Affiliation:
Department of Mathematics, University of Glasgow
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Synopsis

Using the theory of the weighted Sobolev space H1,2(μ), on a bounded domain Ω, in Rn, the existence and regularity of solutions u in K to the variational inequality

is established for various convex subsets K of H1, 2(μ). The growth conditions imposed on the functions A and B give the differential inequality degenerate elliptic structure, extending the results on regularity for inequalities of elliptic type.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 77 , Issue 3-4 , 1977 , pp. 251 - 263
Copyright
Copyright © Royal Society of Edinburgh 1977

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References

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