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• W3035684875 abstract "Abstract We study a family of gradient obstacle problems on a compact Riemannian manifold. We prove that the solutions of these free boundary problems are uniformly semiconcave and, as a consequence, we obtain some fine convergence results for the solutions and their free boundaries. More precisely, we show that the elastic and the $$lambda $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>λ</mml:mi> </mml:math> -elastic sets of the solutions Hausdorff converge to the cut locus and the $$lambda $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>λ</mml:mi> </mml:math> -cut locus of the manifold." @default.
• W3035684875 created "2020-06-19" @default.
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• W3035684875 date "2022-10-01" @default.
• W3035684875 modified "2023-10-16" @default.
• W3035684875 title "Cut Locus on Compact Manifolds and Uniform Semiconcavity Estimates for a Variational Inequality" @default.
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• W3035684875 doi "https://doi.org/10.1007/s00205-022-01821-0" @default.
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