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@article{faucris.290026863,
abstract = {We prove the existence of a maximum for the first Steklov-Dirichlet eigenvalue in the class of convex sets with a fixed spherical hole, under volume constraint. More precisely, if Omega = Omega(0) \ (B) over bar (R1), where B-R1 is the ball centered at the origin with radius R-1 > 0 and Omega(0) subset of R-n, n >= 2, is an open, bounded and convex set such that BR1 (sic) Omega(0), then the first Steklov-Dirichlet eigenvalue sigma(1)(Omega) has a maximum when R-1 and the measure of Omega are fixed. Moreover, if Omega(0) is contained in a suitable ball, we prove that the spherical shell is the maximum.},
author = {Gavitone, Nunzia and Paoli, Gloria and Piscitelli, Gianpaolo and Sannipoli, Rossano},
doi = {10.2140/pjm.2022.320.241},
faupublication = {yes},
journal = {Pacific Journal of Mathematics},
note = {CRIS-Team WoS Importer:2023-03-03},
pages = {241-259},
peerreviewed = {Yes},
title = {{AN} {ISOPERIMETRIC} {INEQUALITY} {FOR} {THE} {FIRST} {STEKLOV}-{DIRICHLET} {LAPLACIAN} {EIGENVALUE} {OF} {CONVEX} {SETS} {WITH} {A} {SPHERICAL} {HOLE}},
volume = {320},
year = {2022}
}