We prove the existence of infinitely many non-radial positive solutions for the Schrödinger-Newton system [equaction presented] provided that V (r) has the following behavior at infinity: [equaction presented] where 1/2 ≤ m < 1 and a,V0, are some positive constants. In particular, for any s large we use a reduction method to construct s-bump solutions lying on a circle of radius [equaction presented].
Infinitely many solutions for Schrödinger-Newton equations
Jevnikar A.;
2023-01-01
Abstract
We prove the existence of infinitely many non-radial positive solutions for the Schrödinger-Newton system [equaction presented] provided that V (r) has the following behavior at infinity: [equaction presented] where 1/2 ≤ m < 1 and a,V0, are some positive constants. In particular, for any s large we use a reduction method to construct s-bump solutions lying on a circle of radius [equaction presented].File in questo prodotto:
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