一类周期变号的非线性Schrodinger方程解的存在性

摘要/Abstract

摘要：

讨论非线性Schrodinger方程-Δu + q(x)u = λu+Q(x)｜u｜^p-1u x∈R^N 的解的存在性.其中q(x),Q(x)满足周期性条件,而且Q(x)变号, λ∈R落在-Δ+q的谱隙中, 1

Abstract:

In this paper, we discuss one class of nonlinear Schrodinger equations with periodical and sign-changing potentials. We use the Lyapunov-Schmidt reduction method and concentrationcompactness principle to get the existence of a weak solution. Key words Schrodinger operators, Concentration compactness, Periodical and sign-changing potentials.

Key words: Schrodinger operators, Concentration compactness, Periodical and sign-changing potentials.

中图分类号:

３５Ｊ

刘晓春. 一类周期变号的非线性Schrodinger方程解的存在性[J]. 数学物理学报, 2000, 20(4): 433-444.

Liu Xiaochun. An Existence Theroem on a Class of Nonlinear Schrodinger Equations with Periodical and Sign-Changing Potentials Liu Xiaochun[J]. Acta mathematica scientia,Series A, 2000, 20(4): 433-444.

参考文献

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