| 一类带扰动的非线性椭圆型方程组无穷多弱解的存在性 |
| |
| 引用本文： | 胡业新. 一类带扰动的非线性椭圆型方程组无穷多弱解的存在性[J]. 应用数学, 2007, 20(4): 681-687 |
| |
| 作者姓名： | 胡业新 |
| |
| 作者单位： | 上海财经大学应用数学系,上海,200433 |
| |
| 摘 要： | 本文在一定条件讨论了如下一类带扰动项,且被两个Laplacian算子控制的非线性椭圆方程Dirichlet问题无穷多弱解的存在性.（-△u=∣u∣α-1∣υ∣β＋1u＋f,x∈Ω,-△υ=∣u∣α＋1∣υ∣β-1υ＋g,x∈Ω,u（x）＋ υ（x）=0,x∈（e）Ω,）其中-△u：=div（▽u）,（u,υ）∈E：=H10（Ω）× H10（Ω）,（f,g）属于E的对偶空间.
|
| 关 键 词： | 临界点 (PS)条件 扰动方法 |
| 文章编号： | 1001-9847（2007）04-0681-07 |
| 修稿时间： | 2007-02-28 |
On the Existence of Infinitely Many Solutions for Some Nonlinear Elliptic Systems with Perturbations |
| |
| HU Ye-xin. On the Existence of Infinitely Many Solutions for Some Nonlinear Elliptic Systems with Perturbations[J]. Mathematica Applicata, 2007, 20(4): 681-687 |
| |
| Authors: | HU Ye-xin |
| |
| Affiliation: | Applied Mathematics Deparment,Shanghai University of Finance and Economics,Shanghai 200433,China |
| |
| Abstract: | In this paper,we study the existence of infinitely many solutions for a class of non-linear elliptic systems governed by two Laplacian operators involving perturbations under some conditions.(-△u=∣u∣α-1∣υ∣β+1u+f,x∈Ω,-△υ=∣u∣α+1∣υ∣β-1υ+g,x∈Ω,u(x)+ υ(x)=0,x∈(e)Ω,)where-△u:=-div(▽u),(u,υ)∈E:=H10(Ω)× H10(Ω),(f,g)∈E*. |
| |
| Keywords: | Critical points (PS)condition Perturbtion methods |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
