Multi-peak solutions for nonlinear Choquard equation in the plane

Multi-peak solutions for nonlinear Choquard equation in the plane
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平面上非线性Choquard方程的多峰解

DOI:
10.1063/1.5045382
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发表时间:
2019-01
影响因子:
1.3
通讯作者:
Zhu Anqiang
Zhu Anqiang
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Sun Xiaomei;Zhu Anqiang

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本文考虑平面上一般非线性满足Berestycki-Lions条件的非线性Choquard方程。利用全局惩罚法,得到了集中在局部极小点附近的多峰解的存在性。本文考虑平面上一般非线性满足Berestycki-Lions条件的非线性Choquard方程。利用全局惩罚法,得到了集中在局部极小点附近的多峰解的存在性。
In this paper, we consider the nonlinear Choquard equation in the plane with general nonlinearity satisfying Berestycki-Lions condition. By means of global penalization method, we obtain the existence of multi-peak solutions which concentrate near local minimal points of potential.In this paper, we consider the nonlinear Choquard equation in the plane with general nonlinearity satisfying Berestycki-Lions condition. By means of global penalization method, we obtain the existence of multi-peak solutions which concentrate near local minimal points of potential.
具有一般非线性的非线性choquard方程的多峰解
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