On nonlinear Schrödinger-Poisson system with doubly critical exponents

This paper focuses on the study of the existence and nonexistence of radial solutions for the Schrödinger-Poisson system with doubly critical exponents [Formula: see text] under weaker assumptions. This work resolves an open problem proposed in the recent paper by Chen-Tang [Commun. Pure Appl. Anal. 2024], and extends the results obtained by Yang-Wei [Asymptotic Anal, 2026].

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Publication Details

Journal
Bulletin of Mathematical Sciences
Published
2026-07-17
DOI
https://doi.org/10.1142/s1664360726500177
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

On nonlinear Schrödinger-Poisson system with doubly critical exponents

Wen Zhang, Xueying Tang, Heng Yang
Bulletin of Mathematical Sciences
Nonlinear Partial Differential Equations
article

On nonlinear Schrödinger-Poisson system with doubly critical exponents

Wen Zhang, Xueying Tang, Heng Yang
article en

Abstract

This paper focuses on the study of the existence and nonexistence of radial solutions for the Schrödinger-Poisson system with doubly critical exponents [Formula: see text] under weaker assumptions. This work resolves an open problem proposed in the recent paper by Chen-Tang [Commun. Pure Appl. Anal. 2024], and extends the results obtained by Yang-Wei [Asymptotic Anal, 2026].

Bulletin of Mathematical Sciences
Openalex Percentile: Top 5%
Nonlinear Partial Differential Equations
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On nonlinear Schrödinger-Poisson system with doubly critical exponents — Wen Zhang, Xueying Tang, et al. · Bulletin of Mathematical Sciences (2026) | TGRS Research Map | TGRS