Infinitely many positive solutions for a Schrodinger-Poisson system
Pietro d'Avenia, Alessio Pomponio, Giusi Vaira
TL;DR
This paper demonstrates the existence of infinitely many positive, non-radial solutions for a nonlinear Schrödinger-Poisson system, expanding understanding of solution multiplicity in such coupled PDEs.
Contribution
It introduces new methods to establish the existence of infinitely many positive solutions that are non-radial for the Schrödinger-Poisson system.
Findings
Existence of infinitely many positive solutions confirmed.
Solutions are non-radial, indicating complex solution structures.
Advances the mathematical theory of coupled nonlinear PDEs.
Abstract
We find infinitely many positive non-radial solutions for a nonlinear Schrodinger-Poisson system.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Nonlinear Differential Equations Analysis · Advanced Mathematical Modeling in Engineering