The Hopf Lemma for the Schrödinger Operator

We prove the Hopf boundary point lemma for solutions of the Dirichlet problem involving the Schrödinger operator -Δ+V{-\Delta+V} with a nonnegative potential V which merely belongs to Lloc1⁢(Ω){L_{\mathrm{loc}}^{1}(\Omega)}. More precisely, if u∈W01,2⁢(Ω)∩L2⁢(Ω;V⁢d⁢x){u\in W_{0}^{1,2}(\Omega)\cap L^...

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Bibliographic Details
Main Authors: Ponce Augusto C., Wilmet Nicolas
Format: Article
Language:English
Published: De Gruyter 2020-05-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2020-2078