Existence and Multiplicity of Positive Entire Solutions fora Class of Quasilinear Elliptic Equation
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摘要: 以 Schauder-Tychonoff 不动点定理为工具, 对非线性项在新的条件下, 在 R n中讨论了一类二阶拟线性椭圆型方程正有界整体解的存在性和多解性. 在许多文献中, 考虑了半线性椭圆型方程正有界整体解的存在性和多解性,本文把半线性方程的结果推广到拟线性方程,从而发展了半线性方程的结果.Abstract: With the Schauder-Tychonoff fixed point theorems as the principal tool, the theorems of existence and multiplicity of bounded positive entire solutions for a class quasilinear elliptic equations are established.In many articles, the theorems of existence and multiplicity of bounded 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.
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Key words:
- existence /
- fixed-points /
- quasilinear /
- entirety
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