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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
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…