Abstract
We establish the Hopf boundary point lemma for the Schrödinger operator involving potentials that merely belong to the space . More precisely, we prove that among all nonnegative supersolutions of which vanish on the boundary and are such that , if there exists one supersolution that satisfies almost everywhere on with respect to the outward unit vector , 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 .
Citation
Luigi Orsina. Augusto C. Ponce. "Hopf potentials for the Schrödinger operator." Anal. PDE 11 (8) 2015 - 2047, 2018. https://doi.org/10.2140/apde.2018.11.2015
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