|
|||||
|
|
| BIFURCATION RESULTS FOR A SEMILINEAR SCHRODINGER EQUATION WITH INDEFINITE LINEAR PART | |
| 引用本文： | 张正杰,卢伟明. BIFURCATION RESULTS FOR A SEMILINEAR SCHRODINGER EQUATION WITH INDEFINITE LINEAR PART[J]. 数学物理学报(B辑英文版), 2004, 24(3): 493-498 |
| 作者姓名： | 张正杰 卢伟明 |
| 作者单位： | [1]LaboratoryofNonlinearAnalysis,DepartmentofMathematics,CentralChinaNormalUniversity,Wuhan430079,China [2]InstituteofChemicalTechnology,ZhengzhouInstituteofTechnology,Zhengzhou450052,China |
| 摘 要： | This paper studies the following semilinear SchrSdinger problem -Δu v(x)u=λu-g(x)|u|^p-1u,x∈R^N It is proven that there exists a bifurcation branch of solutions for the above problem, when g(x) can possibly vanish except for a bounded domain Ω∈R^N. |
| 关 键 词： | 分支 标准Schrodinger方程 线性微分方程 极限 解法 最大连续 |
BIFURCATION RESULTS FOR A SEMILINEAR SCHRODINGER EQUATION WITH INDEFINITE LINEAR PART |
|
| Abstract: | This paper studies the following semilinear Schrodinger problem -△u + v(x)u = λu - g(x)|u|p- 1u, x ∈ RN.It is proven that there exists a bifurcation branch of solutions for the above problem, when g(x) can possibly vanish except for a bounded domain Ω(∪) RN. |
| Keywords: | Schrodinger equation branch of solutions bifurcation |
| 本文献已被 维普 万方数据 等数据库收录！ | |