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- W2618718441 abstract "We prove two rigidity results for a variational infinity ground state $u$ of an open bounded convex domain $Omega subset mathbb{R}^n$. They state that $u$ coincides with a multiple of the distance from the boundary of $Omega$ if either $|nabla u|$ is constant on $partial Omega$, or $u$ is of class $C ^ {1,1}$ outside the high ridge of $Omega$. Consequently, in both cases $Omega$ can be geometrically characterized as a stadium-like domain." @default.
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- W2618718441 date "2019-01-01" @default.
- W2618718441 modified "2023-10-06" @default.
- W2618718441 title "Rigidity results for variational infinity ground states" @default.
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- W2618718441 doi "https://doi.org/10.1512/iumj.2019.68.7617" @default.
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