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math.SP2024★ 1 cited
Peculiar behavior of the principal Laplacian eigenvalue for large negative Robin parameters
Charlotte Dietze, Konstantin Pankrashkin
Let with be a bounded Lipschitz domain with outer unit normal . For let be the Laplacian in with the Robin boundary…
math.AP2024
Minimizing sequences of Sobolev inequalities revisited
Charlotte Dietze, Phan Thành Nam
We give a new proof of the compactness of minimizing sequences of the Sobolev inequalities in the critical case. Our approach relies on a simplified version of the concentration-co…