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一类广义椭圆方程组的多解性
引用本文:谢保利,何万生,夏鸿鸣.一类广义椭圆方程组的多解性[J].兰州理工大学学报,2011,37(1):155-160.
作者姓名:谢保利  何万生  夏鸿鸣
作者单位:天水师范学院数学与统计学院,甘肃,天水,741001
基金项目:甘肃省自然科学基金(3ZS-042-B25-049)
摘    要:运用喷泉定理及对偶喷泉定理,在适当的假设条件下,证明一类非线性广义椭圆方程组非平凡解的存在性.

关 键 词:广义椭圆方程组  喷泉定理  对偶喷泉定理  弱解

Multiplicity of solutions for a class of generalized elliptic systems
XIE Bao-Ii,HE Wan-sheng,XIA Hong-ming.Multiplicity of solutions for a class of generalized elliptic systems[J].Journal of Lanzhou University of Technology,2011,37(1):155-160.
Authors:XIE Bao-Ii  HE Wan-sheng  XIA Hong-ming
Institution:XIE Bao-li,HE Wan-sheng,XIA Hong-ming(College of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,China)
Abstract:By using fountain theorem and dual fountain theorem,the existence of nontrivial solution was proved for a class of nonlinear generalized elliptic systems with appropriate assumptions.
Keywords:generalized elliptic systems  fountain theorem  dual fountain theorem  weak solution  
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