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Infinitely many positive solutions for a Schrödinger–Poisson system

Infinitely many positive solutions for a Schrödinger-Poisson system
Authors: D'AVENIA, Pietro; POMPONIO, Alessio; Vaira, Giusi;

Infinitely many positive solutions for a Schrödinger–Poisson system

Abstract

We find infinitely many positive non-radial solutions for a nonlinear Schrodinger-Poisson system.

23 pages

Keywords

Semilinear elliptic equations, Perturbations in context of PDEs, Positive solutions to PDEs, FOS: Physical sciences, 35J50, 35J60, 35Q60, Non autonomous Schrödinger-Poisson system, Non autonomous Schrödinger-Poisson system; Perturbation method; Applied Mathematics, Mathematics - Analysis of PDEs, Second-order elliptic systems, FOS: Mathematics, Non-autonomous SchrdingerPoisson system, Perturbation method, PDEs in connection with optics and electromagnetic theory, Mathematical Physics, NLS equations (nonlinear Schrödinger equations), Asymptotic behavior of solutions to PDEs, perturbation method, Applied Mathematics, Existence problems for PDEs: global existence, local existence, non-existence, Mathematical Physics (math-ph), Non autonomous Schrödinger–Poisson system, non autonomous Schrödinger-Poisson system, non-autonomous Schrödinger-Poisson system, Non-autonomous SchrdingerPoisson system; Perturbation method; Analysis; Applied Mathematics, Non autonomous Schrodinger-Poisson system; Perturbation method, Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
43
Top 10%
Top 10%
Top 10%
Green
hybrid