Abstract
In this chapter, we first give a brief presentation of basic Sobolev spaces on Lipschitz domains and their boundaries; for more general results we refer to the books by Adams and Fournier (Sobolev Spaces, 2003, [1]), or McLean (Strongly Elliptic Systems and Boundary Integral Equations, 2000, [2]). Then we review some ideas concerning semi-elliptic variational inequalities that provide an abstract framework for the formulation of contact problems.
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Adams, R.A., Fournier, J.J.F.: Sobolev Spaces, 2nd edn. Academic Press, New York (2003)
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Sadowská, M. (2016). Analysis. In: Scalable Algorithms for Contact Problems. Advances in Mechanics and Mathematics, vol 36. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-6834-3_4
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DOI: https://doi.org/10.1007/978-1-4939-6834-3_4
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