Asymptotic behavior of least energy solutions for a 2D nonlinear Neumann problem with large exponent
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- 作者：Futoshi Takahashi
- 关键词：Least energy solution ; Nonlinear Neumann boundary condition ; Large exponent ; Concentration
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：1 March, 2014
- 年：2014
- 卷：411
- 期：1
- 页码：95-106
- 全文大小：273 K
文摘
(Ep){鈭捨攗+u=0on惟,u>0on惟,鈭倁鈭偽?upon鈭偽?We study the asymptotic behavior of least energy solutions to when the nonlinear exponent p gets large. Following the arguments of X. Ren and J.C. Wei , we show that the least energy solutions remain bounded uniformly in p, and it develops one peak on the boundary, the location of which is controlled by the Green function associated to the linear problem.