Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
type: Item
instance of: scholarly article
title: Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
zbMATH Open document ID: 1427.35340
author: Mingqi Xiang
author: Binlin Zhang
author: Vicenţiu D. Rădulescu
published in: Advances in Nonlinear Analysis
publication date: 2019-11-26T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 47G20
zbMATH DE Number: 7136848
zbMATH Keywords: Schrödinger-Kirchhoff problem
zbMATH Keywords: fractional \(p\)-Laplacian
zbMATH Keywords: multiple solutions
zbMATH Keywords: critical exponent
zbMATH Keywords: principle of concentration compactness
MaRDI profile type: Publication
full work available at URL: anona-2020-0021
OpenAlex ID: W2967071869
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Existence and multiplicity results for some superlinear elliptic problems on RN
cites work: Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
cites work: The Brezis-Nirenberg result for the fractional Laplacian
cites work: Fractional Laplacian equations with critical Sobolev exponent
cites work: Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities
cites work: Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
cites work: Q4826746
cites work: Non-local Diffusions, Drifts and Games
cites work: Ground state solutions of scalar field fractional Schrödinger equations
cites work: Multiplicity results for elliptic fractional equations with subcritical term
cites work: Variational Methods for Nonlocal Fractional Problems
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
cites work: Ground states for nonlinear Kirchhoff equations with critical growth
cites work: On a \(p\)-Kirchhoff problem involving a critical nonlinearity
cites work: Concentrating bound states for Kirchhoff type problems in \({\mathbb R}^3\) involving critical Sobolev exponents
cites work: Positive solutions for Kirchhoff-type equations with critical exponent in \(\mathbb{R}^N\)
cites work: Soliton solutions to Kirchhoff type problems involving the critical growth in \(\mathbb R^N\)
cites work: A critical Kirchhoff type problem involving a nonlocal operator
cites work: Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
cites work: On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity
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 solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
cites work: Multiplicity results for the non-homogeneous fractional p -Kirchhoff equations with concave–convex nonlinearities
cites work: Infinitely many solutions for the stationary Kirchhoff problems involving the fractional \(p\)-Laplacian
cites work: Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractional \(p\)-Laplacian
cites work: Infinitely many solutions for critical degenerate Kirchhoff type equations involving the fractional \(p\)-Laplacian
cites work: Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
cites work: Existence of solutions for a critical fractional Kirchhoff type problem in \(\mathbb{R}^N\)
cites work: A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)
cites work: The concentration-compactness principle in the calculus of variations. The limit case. II
cites work: \(p\)-fractional Kirchhoff equations involving critical nonlinearities
cites work: Standing waves with a critical frequency for nonlinear Schrödinger equations
cites work: Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations
cites work: Solutions of perturbed Schrödinger equations with critical nonlinearity
cites work: Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials
cites work: On some p-Laplacian equation with electromagnetic fields and critical nonlinearity in ℝN
cites work: Solutions of p-Kirchhoff type problems with critical nonlinearity in R N
cites work: Multiplicity of solutions for a class of fractional Choquard-Kirchhoff equations involving critical nonlinearity
cites work: On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
cites work: Q3749777
cites work: Q5636090
DOI: 10.1515/ANONA-2020-0021
description: scientific article; zbMATH DE number 7136848