Abdeljabbar Ghanmi (Author), Mouna Kratou (Author), Kamel Saoudi (Author), Dušan Repovš (Author)

Abstract

The objective of this work is to investigate a nonlocal problem involving singular and critical nonlinearities: ▫$$\begin{cases} ([u]_{s,p}^p)^{\sigma-1}(-\Delta)^s_p u = \frac{\lambda}{u^{\gamma}}+u^{ p_s^{*}-1} & \quad \text{in }\Omega,\\ u>0, & \quad \text{in }\Omega,\\ u=0, & \quad \text{in }\mathbb{R}^{N}\setminus \Omega, \end{cases}$$▫ where ▫$\Omega$▫ is a bounded domain in ▫$\mathbb{R}^N$▫ with the smooth boundary ▫$\partial \Omega$▫, ▫$0 < s< 1 sp$, $1<\sigma

Keywords

Kirchhoff problem;nonlocal operator;variational methods;singular nonlinearity;multiplicity results;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 106559235 Link will open in a new window
ISSN: 0921-7134
Views: 13
Downloads: 1
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Other data

Type (COBISS): Article
Pages: str. 125-143
Volume: ǂVol. ǂ131
Issue: ǂiss. ǂ1
Chronology: 2023
DOI: 10.3233/ASY-221769
ID: 17469809