Abstract
Given a mean-convex domain Ω it (ℝn with boundary of class C 2,1, we provide a representation formula for a boundary integral of the type
where k ≥ 0 is the mean curvature of ∂Ω and f is non-increasing and sufficiently regular, in terms of volume integrals and defect measure on the ridge set.
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Giga, Y., Pisante, G. (2013). On representation of boundary integrals involving the mean curvature for mean-convex domains. In: Chambolle, A., Novaga, M., Valdinoci, E. (eds) Geometric Partial Differential Equations proceedings. CRM Series, vol 15. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-473-1_9
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DOI: https://doi.org/10.1007/978-88-7642-473-1_9
Publisher Name: Edizioni della Normale, Pisa
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Online ISBN: 978-88-7642-473-1
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