摘要: |
研究了在球上的具有临界非线性项的一类推广的薛定谔-泊松系统,此系统还含有一个在原点和无穷原点都是渐近线性的一般非线性项;并用变分方法中的山路引理证明了其正解的存在性. |
关键词: 薛定谔-泊松系统 渐近线性 山路引理 |
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Solution for a Class of Generalized Schrdigner Poisson Systems |
DING Ling,ZHUANG Chang Ling
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Abstract: |
This paper researches a class of generalized Schrdigner Poisson Systems with critically growing nonlinearity on ball. The system contains general nonlinear term asymptotically linearity both for the origin and infinite origin. Mountain Pass Lemma in the method of variation is used to prove the existence of positive solution. |
Key words: Schrdigner Poisson Systems the critically growing nonlinearity Mountain Pass Lemma |