On the Picard principle for \(\Delta + \mu \)

DOI10.1007/s00209-010-0826-yzbMath1248.31004OpenAlexW1983282069WikidataQ116636536 ScholiaQ116636536MaRDI QIDQ415498

Ivan Netuka, Wolfhard Hansen

Publication date: 8 May 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0826-y

zbMATH Keywords

Schrödinger equationeigenfunctionextremal functionKato measurenegative perturbationPicard principle

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (8)

Positive Solutions to Schrödinger’s Equation and the Exponential Integrability of the Balayage ⋮ Global estimates for kernels of Neumann series and Green's functions ⋮ A sublinear version of Schur's lemma and elliptic PDE ⋮ Global pointwise estimates of positive solutions to sublinear equations ⋮ Sublinear Equations and Schur’s Test for Integral Operators ⋮ Pointwise estimates of solutions to semilinear elliptic equations and inequalities ⋮ Finite energy solutions to inhomogeneous nonlinear elliptic equations with sub-natural growth terms ⋮ Existence of the gauge for fractional Laplacian Schrödinger operators

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