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- W2946045831 abstract "We initiate the study of the higher order Escobar constants $I_k(M)$, $kgeq 3$, on bounded planar domains $M$. For a domain $M$ in $mathbb{R}^2$ with Lipschitz and piecewise smooth boundary, we conjecture that its $k$-th Escobar constant $I_k(M)$ is bounded above by the $k$-th Escobar constant of the disk. This conjecture is answered in the affirmative for $M$ being a Euclidean $n$-gon and $k$ being greater or equal than $n$. For Euclidean and curvilinear polygons, we, in particular, provide bounds on $I_k(M)$ which depend only on the corner angles of this domain." @default.
- W2946045831 created "2019-05-29" @default.
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- W2946045831 date "2019-05-18" @default.
- W2946045831 modified "2023-09-27" @default.
- W2946045831 title "Escobar constants of planar domains" @default.
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