Multiplicity of solutions for the noncooperative Choquard-Kirchhoff system involving Hardy-Littlewood-Sobolev critical exponent on the Heisenberg group
DOI10.1007/s12215-022-00833-9zbMath1526.35278OpenAlexW4309080461MaRDI QIDQ6054077
Yueqiang Song, Xueqi Sun, Baoling Yang
Publication date: 24 October 2023
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-022-00833-9
Heisenberg groupconcentration-compactness principleHardy-Littlewood-Sobolev critical exponentlimit index theoryChoquard-Kirchhoff system
Critical exponents in context of PDEs (35B33) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Boundary value problems for second-order elliptic systems (35J57)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solutions for Kirchhoff type problem involving the non-local fractional \(p\)-Laplacian
- Existence and nonexistence results for Kohn Laplacian with Hardy-Littlewood-Sobolev critical exponents
- Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations
- Infinitely many solutions for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian
- Multiple solutions for critical Choquard-Kirchhoff type equations
- Multiplicity of solutions for a noncooperative elliptic system with critical Sobolev exponent
- Frequency functions on the Heisenberg group and the uncertainty principle and unique continuation
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Minimax theorems
- Gradient-type systems on unbounded domains of the Heisenberg group
- Multiplicity of solutions for a class of fractional Choquard-Kirchhoff equations involving critical nonlinearity
- Multiple solutions for critical Kirchhoff-Poisson systems in the Heisenberg group
- Existence and concentration of ground-states for fractional Choquard equation with indefinite potential
- Multiplicity and concentration of positive solutions for fractional unbalanced double-phase problems
- Ground states and multiple solutions for Hamiltonian elliptic system with gradient term
- Fractional Choquard-Kirchhoff problems with critical nonlinearity and Hardy potential
- Multiple solutions for a non-cooperative elliptic system of Kirchhoff type involving \(p\)-biharmonic operator and critical growth
- Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity
- Multiplicity of solutions for the noncooperative Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian in \({\mathbb {R}}^N\)
- Multiplicity of solutions for a noncooperative \(p\)-Laplacian elliptic system in \(\mathbb R^N\)
- Improved Sobolev inequalities on the Heisenberg group
- On the isoperimetric problem in the Heisenberg group \(\mathbb H^n\)
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Mean field dynamics of boson stars
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- Multiple solutions for a noncooperative Kirchhoff‐type system involving the fractional p‐Laplacian and critical exponents
- On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
- A limit index theory and its applications
- The Schrödinger–Newton equation as a non-relativistic limit of self-gravitating Klein–Gordon and Dirac fields
- Concentration of positive solutions for a class of fractionalp-Kirchhoff type equations
- Some remarks on gradient-type systems on the Heisenberg group
- Fractional magnetic Schrödinger‐Kirchhoff problems with convolution and critical nonlinearities
- Nonlinear Problems with Lack of Compactness
- Existence of solutions for critical Choquard equations via the concentration-compactness method
- ON A CLASS OF NONCOOPERATIVE FOURTH-ORDER ELLIPTIC SYSTEMS WITH NONLOCAL TERMS AND CRITICAL GROWTH
- A critical fractional Choquard–Kirchhoff problem with magnetic field
This page was built for publication: Multiplicity of solutions for the noncooperative Choquard-Kirchhoff system involving Hardy-Littlewood-Sobolev critical exponent on the Heisenberg group
