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一类半线性椭圆型方程组非平凡解的存在性 被引量:3

The Existence of Nontrivial Solutions for a Class of Semilinear Elliptic System
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摘要 研究了一类带参数的、非线性项不满足AR条件的椭圆型方程组,利用山路定理,证明了在一定条件下,方程组非平凡解的存在性. In this paper, a class of elliptic system is studied.It involves parameters, and it′s nonlinear term do not satisfy AR condition.By using the Mountain Pass Theorem, the existence of nontrivial solutions to the system is proved under some conditions.
出处 《中南民族大学学报(自然科学版)》 CAS 2014年第4期110-112,共3页 Journal of South-Central University for Nationalities:Natural Science Edition
基金 中南民族大学研究生创新基金资助项目(2014sycxjj126) 中南民族大学中央高校基本科研业务费专项资金资助项目(CZY12013)
关键词 方程组 山路定理 非平凡解 system Mountain Pass theorem nontrivial solution
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