Existence results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity

DOI10.1016/j.na.2020.111900zbMath1442.35141OpenAlexW3017070690MaRDI QIDQ2188533

Shaoyun Shi, Yueqiang Song, Fu Zhao, Hongling Pu

Publication date: 11 June 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.111900

zbMATH Keywords

variational methodsKirchhoff equationconcentration-compactness principleHardy-Littlewood-Sobolev critical exponent

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Related Items (1)

Multiple solutions for the quasilinear Choquard equation with Berestycki-Lions-type nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ground states for fractional Schrödinger equations involving a critical nonlinearity
• Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in \(\mathbb{R}^N\)
• The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
• Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity
• On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Quasilinear Schrödinger equations involving concave and convex nonlinearities
• Solitary waves for quasilinear Schrödinger equations
• Solutions for a quasilinear Schrödinger equation: a dual approach.
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity
• On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity
• Soliton solutions for quasilinear Schrödinger equations. II.
• Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents
• Soliton solutions to Kirchhoff type problems involving the critical growth in \(\mathbb R^N\)
• Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
• Dual variational methods in critical point theory and applications
• Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian
• A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)
• Multiplicity of solutions for the noncooperative Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian in \({\mathbb {R}}^N\)
• A multiplicity result for asymptotically linear Kirchhoff equations
• \(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities
• Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth
• A note on Kirchhoff-type equations with Hartree-type nonlinearities
• Existence of solutions for Kirchhoff type problems with critical nonlinearity in \(\mathbb R^3\)
• Existence of positive solutions for a class of quasilinear Schrödinger equations of Choquard type
• Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractionalp-Laplacian
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• Solutions for Quasilinear Schrödinger Equations via the Nehari Method
• The Choquard equation and related questions
• A multiplicity result for quasilinear elliptic equations involving critical sobolev exponents
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Existence and multiplicity of solutions for a quasilinear Choquard equation via perturbation method
• On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent
• Extrema problems with critical sobolev exponents on unbounded domains
• Fractional magnetic Schrödinger‐Kirchhoff problems with convolution and critical nonlinearities
• Existence of solutions for critical Choquard equations via the concentration-compactness method
• Existence of groundstates for a class of nonlinear Choquard equations
• Existence, multiplicity, and concentration of positive solutions for a quasilinear Choquard equation with critical exponent

This page was built for publication: Existence results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity