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# On classical solutions to the Hartree equation

Authors:

Phuong Le

Source title:
Journal of Mathematical Analysis and Applications, 485: 123859, 2020 (ISI)
2019-2020
Abstract:

This paper is concerned with positive classical solutions to the Hartree equation

$.$ When n , we show that the equation has no positive solution. When , we prove that the equation has no positive solution if , we also classify all positive solutions to the equation in the critical case . The main novelty of this paper is that we cover the full range 0  and  in our results.