Existence of two positive solutions for two kinds of fractional \(p\)-Laplacian equations
type: Item
instance of: scholarly article
title: Existence of two positive solutions for two kinds of fractional \(p\)-Laplacian equations
zbMATH Open document ID: 1462.35450
DOI: 10.1155/2021/5572645
author: Yong Wu
author: Said Taarabti
published in: Journal of Function Spaces
publication date: 2021-05-03T00:00:00Z
review text: Summary: The aim of this paper is to investigate the existence of two positive solutions to subcritical and critical fractional integro-differential equations driven by a nonlocal operator \(\mathcal{L}_K^p\). Specifically, we get multiple solutions to the following fractional \(p\)-Laplacian equations with the help of fibering maps and Nehari manifold. \(\begin{cases} (-\Delta)_p^s u (x) = \lambda u^q +u^r, & u>0 \text{ in }\Omega, \\ u=0, & \text{in }\mathbb{R}^N \backslash \Omega \end{cases}\). Our results extend the previous results in some respects.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 7341750
zbMATH Keywords: fractional \(p\)-Laplacian equations
zbMATH Keywords: Nehari manifold
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5572645
OpenAlex ID: W3134177346
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description: scientific article; zbMATH DE number 7341750