Groundstates for the nonlinear Schr?dinger equation with potential vanishing at infinity
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- 作者：Denis Bonheure and Jean Van Schaftingen
- 关键词：Stationary nonlinear Schr?dinger equation ; Decay of solutions ; Weighted Sobolev spaces ; Regularity theory ; Moser iteration scheme ; Trace inequalities ; Degenerate potentials
- 刊名：Annali di Matematica Pura ed Applicata
- 出版年：2010
- 出版时间：April, 2010
- 年：2010
- 卷：189
- 期：2
- 页码：273-301
- 全文大小：317.1 KB
文摘
Groundstates of the stationary nonlinear Schr?dinger equation -Du +V u = K up-1-\Delta u +V u =K u^{p-1}