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math.AP2024
Asymptotic location and shape of the optimal favorable region in a Neumann spectral problem
Lorenzo Ferreri, Dario Mazzoleni, Benedetta Pellacci +1
We complete the study concerning the minimization of the positive principal eigenvalue associated with a weighted Neumann problem settled in a bounded regular domain $Ω\subset \mat…
math.AP2024
Normalized solutions for Sobolev critical Schrödinger equations on bounded domains
Dario Pierotti, Gianmaria Verzini, Junwei Yu
We study the existence and multiplicity of positive solutions with prescribed -norm for the Sobolev critical Schrödinger equation on a bounded domain , $…