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On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations

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  • Yang Zuodong

Abstract

Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in â„ N with the Schauder-Tychonoff fixed point theorem as the principal tool. In many articles, the theorems of existence and multiple of positive entire solutions for a class semilinear elliptic equations are established. The results of the semilinear equations are extended to the quasilinear ones and the results of semilinear equations are developed.

Suggested Citation

  • Yang Zuodong, 2006. "On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-19, July.
    • Handle: RePEc:hin:jijmms:034538
    DOI: 10.1155/IJMMS/2006/34538
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