ON RADIALITY OF MINIMIZERS TO L^(2) SUPERCRITICAL SCHRODINGER POISSON EQUATIONS WITH GENERAL NONLINEARITIES  

作　　者：Chengcheng WU Linjie SONG 吴橙橙;宋林杰

机构地区：[1]School of Mathematical Sciences,Capital Normal University,Beijing 100048,China [2]Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China

出　　处：《Acta Mathematica Scientia》2025年第2期684-694,共11页数学物理学报(B辑英文版)

基　　金：supported by the NSFC(12031015);Song's research was supported by the Shuimu Tsinghua Scholar Program,the National Funded Postdoctoral Research Program(GZB20230368);the China Postdoctoral Science Foundation(2024T170452)。

摘　　要：We investigate the radial symmetry of minimizers on the Pohozaev-Nehari manifold to the Schrodinger Poisson equation with a general nonlinearity f(u).Particularly,we allow that f is L^(2) supercritical.The main result shows that minimizers are radially symmetric modulo suitable translations.

关 键 词：Schrodinger-Poisson equations radial symmetry Pohozaev-Nehari manifold 

分 类 号：O175.25[理学—数学]