Existence and non-existence results for fractional Kirchhoff Laplacian problems
type: Item
instance of: scholarly article
title: Existence and non-existence results for fractional Kirchhoff Laplacian problems
zbMATH Open document ID: 1472.35440
author: N. Nyamoradi
author: Vincenzo Ambrosio
published in: Analysis and Mathematical Physics
publication date: 2021-09-06T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 47G20
zbMATH DE Number: 7391419
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: Kirchhoff-type problem
zbMATH Keywords: Nehari manifold
zbMATH Keywords: fibering map
MaRDI profile type: Publication
full work available at URL: s13324-020-00435-7
OpenAlex ID: W3169454806
cites work: Multiple solutions for a class of nonhomogeneous fractional Schrödinger equations in \(\mathbb{R}^{N}\)
cites work: Periodic solutions for critical fractional problems
cites work: Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems
cites work: A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity
cites work: Concentration phenomena for a fractional Schrödinger‐Kirchhoff type equation
cites work: Some remarks on the solvability of non-local elliptic problems with the Hardy potential
cites work: On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
cites work: Infinitely many solutions for critical degenerate Kirchhoff type equations involving the fractional \(p\)-Laplacian
cites work: The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
cites work: Q3130554
cites work: Best constants for Sobolev inequalities for higher order fractional derivatives
cites work: Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
cites work: Concentrating standing waves for the fractional nonlinear Schrödinger equation
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
cites work: Positive solutions for the p-Laplacian: application of the fibrering method
cites work: On the variational principle
cites work: Nonexistence of distributional supersolutions of a semilinear elliptic equation with Hardy potential
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: On certain nonlocal Hardy-Sobolev critical elliptic Dirichlet problems
cites work: \(p\)-fractional Kirchhoff equations involving critical nonlinearities
cites work: A critical Kirchhoff type problem involving a nonlocal operator
cites work: On critical systems involving fractional Laplacian
cites work: On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
cites work: Infinitely many solutions for the stationary Kirchhoff problems involving the fractional \(p\)-Laplacian
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: On a fractional degenerate Kirchhoff-type problem
cites work: Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
cites work: Critical stationary Kirchhoff equations in \(\mathbb R^N\) involving nonlocal operators
cites work: Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
cites work: Existence of positive solutions for Hardy nonlocal fractional elliptic equations involving critical nonlinearities
cites work: The Brezis-Nirenberg result for the fractional Laplacian
cites work: Multiplicity results for a semi-linear elliptic equation involving sign-changing weight function
cites work: Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
cites work: A fractional Kirchhoff-type problem in ℝNwithout the (AR) condition
cites work: Multiplicity results for nonlocal fractional \(p\)-Kirchhoff equations via Morse theory
DOI: 10.1007/S13324-020-00435-7
description: scientific article; zbMATH DE number 7391419