Maximal monotonicity of operators with sufficiently large domain and application to the Hartree problem

DOI10.1007/BF01168589zbMath0497.47024OpenAlexW2166889178MaRDI QIDQ1170740

Juergen Weyer

Publication date: 1982

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154854

zbMATH Keywords

perturbationpositive selfadjoint operatorsHartree operatorhemi-continuous monotone operatormaximal cyclically monotone operators

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (1)

Approximations to periodic solutions of a Duffing equation

Cites Work

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• An example in nonlinear functional analysis: The Hartree equation
• Über adjungierte Funktionaloperatoren
• Existence theory for the Hartree equation
• A branch of positive solutions of nonlinear eigenvalue problems
• Asymptotic fixed point theorems
• Perturbations of nonlinear maximal monotone sets in banach space
• On the Maximality of Sums of Nonlinear Monotone Operators

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