| Infinitely Many Sign-changing Solutions for a Schrdinger Equation in R~N |
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| 引用本文： | 洪明理,李永青.Infinitely Many Sign-changing Solutions for a Schrdinger Equation in R~N[J].数学进展,2006(6). |
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| 作者姓名： | 洪明理 李永青 |
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| 作者单位： | Department of Mathematics and Physics Fujian University of Technology，Department of Mathematics Fujian Normal University Fuzhou，Fujian，350014，P.R.China，Fuzhou，Fujian，350007，P.R.China |
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| 摘 要： | We consider the existence of infinitely many sign-changing solutions for the nonlinear time-independent schrodinger equations of the form where Vλ(x) =λa(x) 1. This problem originates from various problems in physics and mathematical physics. In constructive field theory, (1.1) is called a nonlinear Euclidean scalar field equation. In chemical dynamics, a solution of (1.1) is a stationary state of the reaction diffusion equation
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