Multiple Solutions for a P-Laplacian System with Nonlinear Boundary Conditions
Multiple Solutions for a P-Laplacian System with Nonlinear Boundary Conditions
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DOI：
10.4134/bkms.2014.51.1.099
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发表时间：
2014-01
影响因子：
0.5
通讯作者：
Jun Zhou;Chan-Gyun Kim
中科院分区：
文献类型：
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作者：
Jun Zhou;Chan-Gyun Kim
本文考虑了一类具有p-Laplacian算子和非线性边界条件的非线性椭圆型问题。利用Nehari流形方法证明了当参数足够小时，系统存在两个非平凡非负解。
A nonlinear elliptic problem involving p-Laplacian and non- linear boundary condition is considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameter is small enough.