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math.AP2023
Exceptional domains in higher dimensions
Ignace Aristide Minlend, Tobias Weth, Jing Wu
We prove the existence of nontrivial unbounded exceptional domains in the Euclidean space , . These domains arise as perturbations of complements of straight cylinder…
math.AP2023★ 1 cited
Modica type estimates and curvature results for overdetermined elliptic problems
David Ruiz, Pieralberto Sicbaldi, Jing Wu
In this paper, we establish a Modica type estimate on bounded solutions to the overdetermined elliptic problem \begin{equation*} \begin{cases} Δu+f(u) =0& \mbox{in , }\\ u>0 &\m…
math.AP2022
Overdetermined elliptic problems in nontrivial contractible domains of the sphere
David Ruiz, Pieralberto Sicbaldi, Jing Wu
In this paper, we prove the existence of nontrivial contractible domains , , such that the overdetermined elliptic problem \begin{equation*} \begin{…