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Normalized solutions of Schrödinger equations with potentially bounded measures

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Publication:1876610
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DOI10.1023/B:POTA.0000025378.97262.f3zbMath1054.31005OpenAlexW2065917400MaRDI QIDQ1876610

Wolfhard Hansen

Publication date: 20 August 2004

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:pota.0000025378.97262.f3


zbMATH Keywords

Green's functionSchrödinger operatorHölder continuity\(\mu\)-harmonic functions


Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Second-order elliptic equations (35J15) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)


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Global comparison of perturbed Green functions ⋮ Localization and Schrödinger perturbations of kernels ⋮ On the Picard principle for \(\Delta + \mu \) ⋮ Large sets at infinity and maximum principle on unbounded domains for a class of sub-elliptic operators ⋮ Convexity properties of harmonic measures ⋮ Lower estimates for a perturbed Green function ⋮ The 3G-inequality for general Schrödinger operators on Lipschitz domains ⋮ On Evans' and Choquet's theorems for polar sets



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