Pulmonary Cryptococcus Neoformans in an "Immunocompetent” Patient Results in Acute Respiratory Failure

Pinchover, Zachary; Syed, Mohi; Pinchover, Lisa; Hudson, Parker

doi:10.1016/j.chest.2019.08.683

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“…Conditions (A1) and (A2) imply that L V is weakly coercive in the sense of Ancona [3]. For a proof, based on [11], see [6,Lemma 1.1]. (Recall that, if V < 0, γ + = ∞ while γ − < 0.…”

Section: Introductionmentioning

confidence: 99%

Schrodinger equations with very singular potentials in Lipschitz domains

Marcus¹

2022

Preprint

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Consider operators Lin Ω and also a second condition that guarantees the existence of a ground state Φ V . If, for example, V > 0 this condition reads 1 < c H (V ) (= the Hardy constant relative to V ). We derive estimates of positive L V harmonic functions and of positive Green potentials of measures τ ∈ M + (Ω; Φ V ). These imply estimates of positive L V superharmonic functions and of L V subharmonic functions that are dominated by an L V superharmonic. Similar results have been obtained in [7] in the case of smooth domains.

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“…Conditions (A1) and (A2) imply that L V is weakly coercive in the sense of Ancona [3]. For a proof, based on [11], see [6,Lemma 1.1]. (Recall that, if V < 0, γ + = ∞ while γ − < 0.…”

Section: Introductionmentioning

confidence: 99%