천 사이먼스 슈뢰딩거 방정식의 정상파에 관하여
- 천 사이먼스 슈뢰딩거 방정식의 정상파에 관하여
- Date Issued
- In this dissertation, we study standing waves for the Chern-Simons-Schroedinger equations. Some existence results of standing waves are established by applying
variational methods to the functional which is obtained by representing the gauge field in terms of the complex scalar field.
We also show that there exist no standing waves for certain range or parameters by establishing a new
inequality of Sobolev type.
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