Infinitely many radial positive solutions for nonlocal problems with lack of compactness

We are concerned with the qualitative and asymptotic analysis of solutions to the nonlocal equation $$ (-\Delta)^su+V(|z|)u=Q(|z|)u^p\quad \text{in} \ \mathbb{R}^{N},$$ where $N\geq 3,\ 0<s<1$, and $1<p<\frac{2N}{N-2s}$. As $r\to\infty$, we assume that the potentials $V(r)$ and $Q(r...

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Bibliographic Details
Main Authors: Fen Zhou, Zifei Shen, Vicenţiu Rădulescu
Format: Article
Language:English
Published: University of Szeged 2021-04-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9000