Infinitely many solutions for Schrödinger–Newton equations
Copyright policy )Infinitely many solutions for Schrödinger–Newton equations
We prove the existence of infinitely many non-radial positive solutions for the Schrödinger–Newton system [Formula: see text] provided that [Formula: see text] has the following behavior at infinity: [Formula: see text] where [Formula: see text] and [Formula: see text] are some positive constants. In particular, for any [Formula: see text] large we use a reduction method to construct [Formula: see text]-bump solutions lying on a circle of radius [Formula: see text].
- Central South University China (People's Republic of)
- University of Udine Italy
infinitely many solutions; perturbation problem; reduction method; Schrödinger-Newton system, Mathematics - Analysis of PDEs, FOS: Mathematics, 35B40, 35B45, 35J40, Analysis of PDEs (math.AP)
infinitely many solutions; perturbation problem; reduction method; Schrödinger-Newton system, Mathematics - Analysis of PDEs, FOS: Mathematics, 35B40, 35B45, 35J40, Analysis of PDEs (math.AP)
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