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• W2805265314 endingPage "2047" @default.
• W2805265314 startingPage "2015" @default.
• W2805265314 abstract "We establish the Hopf boundary point lemma for the Schrodinger operator $-Delta + V$ involving potentials $V$ that merely belong to the space $L^{1}_{loc}(Omega)$. More precisely, we prove that among all supersolutions $u$ of $-Delta + V$ which vanish on the boundary $partialOmega$ and are such that $V u in L^{1}(Omega)$, if there exists one supersolution which satisfies $partial u/partial n < 0$ almost everywhere on $partialOmega$ with respect to the outward unit vector $n$, then such a property holds for every nontrivial supersolution in the same class. We rely on the existence of nontrivial solutions of the nonhomogeneous Dirichlet problem with boundary datum in $L^{infty}(partialOmega)$." @default.
• W2805265314 created "2018-06-13" @default.
• W2805265314 creator A5007701203 @default.
• W2805265314 creator A5014256758 @default.
• W2805265314 date "2018-06-06" @default.
• W2805265314 modified "2023-10-02" @default.
• W2805265314 title "Hopf potentials for the Schrödinger operator" @default.
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• W2805265314 doi "https://doi.org/10.2140/apde.2018.11.2015" @default.
• W2805265314 hasPublicationYear "2018" @default.
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