A positive solution for a nonlinear Schrödinger equation on Rn

A positive solution for a nonlinear Schrödinger equation on Rn
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DOI:
10.1512/iumj.2005.54.2502
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发表时间:
2005-06
影响因子:
1.1
通讯作者:
L. Jeanjean;Kazunaga Tanaka
L. Jeanjean;Kazunaga Tanaka
中科院分区:
数学3区
文献类型:
--
作者:
L. Jeanjean;Kazunaga Tanaka

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证明了一类方程-Δu + V(x)u = f(u),u ∈ H1(RN)正解的存在性.关于非线性f,仅需要0附近和0处的条件。
We prove the existence of a positive solution for a class of equations of the form -Δu + V(x)u = f(u), u ∈ H 1 (R N ). On the nonlinearity f, only conditions around 0 and at oo are required.