Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON GROUND STATE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC EQUATIONS

  • Yin, Honghui (School of Mathematical Sciences, Nanjing Normal University) ;
  • Yang, Zuodong (Institute of Mathematics, School of Mathematics Science, Nanjing Normal University)
  • Received : 2009.12.13
  • Accepted : 2010.10.25
  • Published : 2011.05.30
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Abstract

In this paper, our main purpose is to establish the existence of positive bounded entire solutions of second order quasilinear elliptic equation on $R^N$. we obtained the results under different suitable conditions on the locally H$\"{o}$lder continuous nonlinearity f(x, u), we needn't any mono-tonicity condition about the nonlinearity.

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References

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