JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (2): 58-62.doi: 10.6040/j.issn.1671-9352.0.2013.380

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Soliton solutions for quasilinear Schrdinger equations

CHEN Zhi-hui, WANG Zhen-zhen, CHENG Yong-kuan*   

  1. Department of Mathematics, South China University of Technology,  Guangzhou 510640, Guangdong, China
  • Received:2013-08-13 Online:2014-02-20 Published:2014-06-04

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Abstract:

We are concerned with the existence result of positive solutions for a quasilinear elliptic equation arising from plasma physics. We convert a quasilinear elliptic equation into a semilinear one and show the existence result for original equation under the suitable conditions on the power of nonlinearity and quasilinearity.

Key words: quasilinear Schrdinger equations, soliton solutions, mountain pass theorem

CLC Number: 

  • O175.29
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