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math.AP2022
An overdetermined problem for sign-changing eigenfunctions in unbounded domains
Ignace Aristide Minlend
We study the existence of non-trivial unbounded domains of where the equation \begin{align} - λu_{xx} -u_{tt} &= u \qquad \text{in ,}\nonumber u &=0 \qqu…
math.AP2022
On an electrostatic problem and a new class of exceptional subdomains of
Mouhamed Moustapha Fall, Ignace Aristide Minlend, Tobias Weth
We study the existence of nontrivial unbounded surfaces with the property that the constant charge distribution on is an electrostatic equilibrium, i.e.…