HUANG Juan, ZHANG Jian, CHEN Guan-gan. Stability of SchrLdinger-Poisson Type Equations[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1381-1386. doi: 10.3879/j.issn.1000-0887.2009.11.013
Citation: HUANG Juan, ZHANG Jian, CHEN Guan-gan. Stability of SchrLdinger-Poisson Type Equations[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1381-1386. doi: 10.3879/j.issn.1000-0887.2009.11.013

Stability of SchrLdinger-Poisson Type Equations

doi: 10.3879/j.issn.1000-0887.2009.11.013
  • Received Date: 2008-01-02
  • Rev Recd Date: 2009-08-19
  • Publish Date: 2009-11-15
  • Variationalm ethods were used to study the nonlinear SchrLdinger-Poisson type equations which model the electromagnetic wave propagates in the plasma in physics. Through analyzing the Hamiltonian property to construct a constrained variational problem, the existence of the ground state of the system was obtained. Furthermore, the ground state being orbitally stable was proved.
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