We investigate the radial symmetry of minimizers on the Pohozaev-Nehari manifold to the Schrödinger 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.
Chengcheng WU
,
Linjie SONG
. ON RADIALITY OF MINIMIZERS TO $L^2$ SUPERCRITICAL SCHRÖDINGER POISSON EQUATIONS WITH GENERAL NONLINEARITIES[J]. Acta mathematica scientia, Series B, 2025
, 45(2)
: 684
-694
.
DOI: 10.1007/s10473-025-0222-7
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