On uniqueness and radiality of minimizers to L² supercritical Schrödinger Poisson equations with general nonlinearities

2023/04/17 by Chengcheng Wu, Linjie Song, Wu, Chengcheng +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.2304.08229

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arxiv created 2026/08/02 · arxiv updated 2026/08/04

Abstract

We study the uniqueness and the radial symmetry of minimizers on a Pohozaev-Nehari manifold to the Schrödinger Poisson equation with a general nonlinearity f(u). Particularly, we allow that f is L² supercritical. The main result shows that minimizers are unique and radially symmetric modulo suitable translations.

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