Weighted Sobolev embedding with unbounded and decaying radial potentials

Weighted Sobolev embedding with unbounded and decaying radial potentials
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DOI:
10.1016/j.jde.2007.03.018
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发表时间:
2007-07
影响因子:
2.4
通讯作者:
Jiabao Su;Zhi-Qiang Wang;M. Willem
Jiabao Su;Zhi-Qiang Wang;M. Willem
中科院分区:
数学2区
文献类型:
--
作者:
Jiabao Su;Zhi-Qiang Wang;M. Willem

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本文证明了径向对称函数的加权W1,p(RN)空间的嵌入结果。然后,使用的结果得到的基态和束缚态解的拟线性方程与无界或衰减的径向潜力。
We prove embedding results of weighted W1,p(RN) spaces of radially symmetric functions. The results then are used to obtain ground and bound state solutions of quasilinear equations with unbounded or decaying radial potentials.