R^n上一类共振椭圆方程组的解

Solutions for a Resonant Elliptic Systems in R^n

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摘要讨论了Rn上一类共振拟线性椭圆方程组问题。利用一种变形的山路引理,在一定条件下得到了该方程组非平凡解的存在性,所获结论改进了已有文献中相关结果。 A class of resonant quasilinear elliptic systems in R^n are investigated. Using a variant version of the mountain pass lemma, we obtain the existence of nontrivial solutions for the elliptic systems under some conditions. Our result improves the results in the previous literature.

作者章国庆

机构地区上海理工大学理学院

出处《工程数学学报》 CSCD 北大核心 2007年第2期324-328,共5页 Chinese Journal of Engineering Mathematics

基金上海市高校优秀青年后备人选基金(04YQHB149) 上海理工大学青年科研基金(X687).

关键词共振椭圆方程组 (C)条件山路引理 resonant elliptic systems （C） condition mountain pass lemma

分类号 O175.25 [理学—基础数学]

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参考文献7

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1偏微分方程[J].中国学术期刊文摘,2007,13(19):22-23.

工程数学学报

2007年第2期

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R^n上一类共振椭圆方程组的解

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