An example in nonlinear functional analysis: The Hartree equation

DOI10.1016/0022-247X(75)90213-9zbMath0311.47032OpenAlexW2051434496MaRDI QIDQ1219466

Charles A. Stuart

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(75)90213-9

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (11)

Bifurcation for variational problems when the linearisation has no eigenvalues ⋮ Maximal monotonicity of operators with sufficiently large domain and application to the Hartree problem ⋮ Multiple solutions for a Schrödinger-Poisson-Slater equation with external Coulomb potential ⋮ Iterative solution of the Hartree equations ⋮ Bifurcation theorems of Rabinowitz type ⋮ A numerical method for the Hartree equation of the helium atom ⋮ Solutions of Hartree-Fock equations for Coulomb systems ⋮ Some remarks on Hartree equation ⋮ Orbital stability of standing waves for some nonlinear Schrödinger equations ⋮ Characterisation of bifurcation from the continuous spectrum by nodal properties ⋮ Unnamed Item

Cites Work

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• Existence theory for the Hartree equation
• A branch of positive solutions of nonlinear eigenvalue problems
• Some global results for nonlinear eigenvalue problems
• Large nonlinearities and monotonicity

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