Volume 37 • Number 1 • 2014   • Existence of Nontrivial Solutions to Perturbed Schrödinger System Huixing Zhang Abstract. We are concerned with the multiplicity of semiclassical solutions of the following Schrödinger system involving critical nonlinearity and magnetic fields. Under proper conditions, we prove the existence and multiplicity of the nontrivial solutions to the perturbed system. 2010 Mathematics Subject Classification: 35B33, 35J60 Full text: PDF