Multiplicity and concentration of solutions for a quasilinear Choquard equation

Multiplicity and concentration of solutions for a quasilinear Choquard equation
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拟线性 Choquard 方程解的重数和浓度

DOI:
10.1063/1.4884301
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发表时间:
2014-06-01
影响因子:
1.3
通讯作者:
Yang, Minbo
Yang, Minbo
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Alves, Claudianor O.;Yang, Minbo

文献摘要

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本文研究了一类含有p-laplacian算子和势函数V的拟线性Choquard方程,在适当的非线性项和V的假设下,利用变分方法证明了方程解的存在性、多解性和集中性.
In this paper, we study a quasilinear Choquard equation involving the p-laplacian operator and a potential function V. Under suitable assumptions on V and the nonlinearity, we prove the existence, multiplicity, and concentration of solutions for the equation by variational methods.