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http://dx.doi.org/10.14317/jami.2011.29.3_4.1011

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)
Publication Information
Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 1011-1016 More about this Journal
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.
Keywords
Bounded; positive solution; sub-solution; super-solution;
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