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- W2016282460 abstract "A method is presented for proving the existence and calculating lower bounds for critical energies of the Hartree equation for the hellium atom. Our idea is to introduce an “energy” scalar product and use it to approximate the fourth order term in the potential by a smaller second order term. Rigorous lower bounds are then obtained from an associated linear operator containing a trial vector. By a suitable choice of the trial vector we are able to show that the minimal solution exists and is in fact a pointwise positive solution." @default.
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- W2016282460 modified "2023-10-18" @default.
- W2016282460 title "Existence and bounds for critical energies of the hartree operator" @default.
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- W2016282460 doi "https://doi.org/10.1016/0009-2614(74)80233-2" @default.
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