@article{Huang2026, 
author = {Na Huang and Yumi Shao and Hongmin Suo},
title = {Symmetry breaking for a Schrödinger equation with van der Waals type potentials},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {5},
pages = {13805-13817},
keywords = {Schrödinger equations, van der Waals type potentials, symmetry breaking},
url = {https://www.sciopen.com/article/10.3934/math.2026568},
doi = {10.3934/math.2026568},
abstract = {We study the asymptotic behavior of ground state energy for a Schrödinger equation with van der Waals type potentials. We prove that when the mass    c is sufficiently large, the ground state energy restricted to radially symmetric functions is greater than the ground state energy. This result implies that the symmetry of the ground state solution of the equation is broken.}
}