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Standing waves for a Chern-Simons-Schrödinger problem in $\mathbb{R}^{2}$ involving radial potentials
  • Francisco Sibério Albuquerque,
  • Shang-Jie Chen,
  • Lin Li
Francisco Sibério Albuquerque
Universidade Estadual da Paraiba
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Shang-Jie Chen
Chongqing Technology and Business University
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Lin Li
Chongqing Technology and Business University, Chongqing Technology and Business University
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Abstract

By combining variational methods and a Trudinger-Moser-type inequality with weights, we investigate the existence of radial standing waves for a modified Schrödinger equation coupled with the Chern-Simons gauge theory.