Autor:	Shen, Zifei, Zhang, Shuijin
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 35J15 45E10 45G05
Druh dokumentu:	Working Paper
Popis:	This paper studies the nonlinear fractional Helmholtz equation \begin{equation}\label{main} (-\Delta)^{s} u-k^{2} u=Q(x)\|u\|^{p-2}u, ~~\mathrm{in}~~\mathbb{R}^{N},~~N\geq3, \end{equation} where $\frac{N}{N+1}0$ large, the existence of real-valued solutions for (\ref{main}) are proved, and in the limit $k\longrightarrow\infty$, sequence of solutions associated with ground states of a dual equation are shown to concentrate, after rescaling, at global maximum points of the function $Q$. Comment: 13pages. arXiv admin note: substantial text overlap with arXiv:1608.04534 by other authors
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.15009 Zobrazit plný text záznamu View this record from Arxiv