On classical solutions to the Hartree equation
On classical solutions to the Hartree equation
Source title:
Journal of Mathematical Analysis and Applications, 485: 123859,
2020
(ISI)
Academic year of acceptance:
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 n , 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.