Abstract
In this chapter we discuss one of the fundamental tools in the shape optimization. The capacitary measures generalize various situations involving PDEs in the Euclidean space ℝd, allowing us to threat at once problems concerning elliptic problems on domains, Schrödinger operators and operators involving traces of Sobolev functions on (d − 1)-dimensional sets.
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© 2015 Scuola Normale Superiore Pisa
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Velichkov, B. (2015). Capacitary measures. In: Existence and Regularity Results for Some Shape Optimization Problems. Publications of the Scuola Normale Superiore, vol 19. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-527-1_3
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DOI: https://doi.org/10.1007/978-88-7642-527-1_3
Publisher Name: Edizioni della Normale, Pisa
Print ISBN: 978-88-7642-526-4
Online ISBN: 978-88-7642-527-1
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