Nonlinear scalar field equations, I existence of a ground state

Nonlinear scalar field equations, I existence of a ground state
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DOI:
10.1007/bf00250555
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发表时间:
1983-12
影响因子:
2.5
通讯作者:
H. Berestycki;H. Berestycki;P. Lions;P. Lions
H. Berestycki;H. Berestycki;P. Lions;P. Lions
中科院分区:
数学1区
文献类型:
--
作者:
H. Berestycki;H. Berestycki;P. Lions;P. Lions

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本文研究了一类半线性椭圆型方程在Rsup (N)中的非平凡解的存在性。在Klein-Gordon或Schroedinger类型的非线性方程中寻找某些类型的孤立波(定态)是这些问题的主要动机。
[en] This paper as well as a subsequent one is concerned with the existence of nontrivial solutions for some semi-linear elliptic equations in Rsup (N). Such problems are motivated in particular by the search for certain kinds of solitary waves (stationary states) in nonlinear equations of the Klein-Gordon or Schroedinger type.(orig./HSI)