Affine mixed Rayleigh quotients
Julián Haddad, Jie Xiao · 2022
This note concerns the affine (q, p)-Rayleigh quotients and their infimum over the Sobolev space W1,p 0 (Ω) \ {0} on a given bounded smooth domain Ω and possible minimizers, also presenting an affine version of Talenti’s inequality for the first eigenfunction of the affine p-Laplacian.