Nehari manifold for weighted singular fractional \(p\)-Laplace equations
type: Item
instance of: scholarly article
title: Nehari manifold for weighted singular fractional \(p\)-Laplace equations
author: César T. Ledesma
author: Mariane Pigossi
author: Jiabin Zuo
author: J. Vanterler da Costa Sousa
published in: Bulletin of the Brazilian Mathematical Society. New Series
publication date: 2022-10-31T00:00:00Z
review text: In this paper, the authors considered the weighted singular fractional \(p\)-Laplacian problems involving a bounded weight function. Firstly, some auxiliary results about the \(\psi\)-Riemann-Liouville fractional integral and \(\psi\)-Hilfer fractional derivatives were given. Based on the the technique of the Nehari manifold, the existence of two positive solutions for the addressed problems was presented. At the same time, some related propositions and theorems were obtained.
reviewed by: Wengui Yang
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 58E50
zbMATH DE Number: 7610201
zbMATH Keywords: \(\psi\)-fractional derivative space
zbMATH Keywords: variational structure
zbMATH Keywords: fractional \(p\)-Laplace operator
zbMATH Keywords: existence of solutions
zbMATH Keywords: Nehari manifold
MaRDI profile type: Publication
full work available at URL: s00574-022-00302-y
OpenAlex ID: W4283207326
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DOI: 10.1007/S00574-022-00302-Y
description: scientific article; zbMATH DE number 7610201