On nonlocal Choquard system with Hardy-Littlewood-Sobolev critical exponents
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Publication:2672971
DOI10.1007/S12220-022-00959-3zbMath1491.35184OpenAlexW4281626356MaRDI QIDQ2672971
Anmin Mao, Xiaorong Luo, Shuai Mo
Publication date: 13 June 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-022-00959-3
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)
Related Items (3)
Multiplicity of solutions to linearly coupled Hartree systems with critical exponent ⋮ Normalized solutions to nonlocal Schrödinger systems with \(L^2\)-subcritical and supercritical nonlinearities ⋮ Normalized ground states for the Schrödinger equation with Hartree type and square-root nonlinearities
Cites Work
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- The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent
- Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent
- On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
- Existence of semiclassical ground state solutions for a generalized Choquard equation
- Multiple solutions for critical Choquard-Kirchhoff type equations
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities
- The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
- Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction
- On the variational principle
- Minimax theorems
- Three positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weight
- High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents
- Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity
- \(n\)-Kirchhoff-Choquard equations with exponential nonlinearity
- Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity
- On fractional Schrödinger systems of Choquard type
- Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems
- Existence of semiclassical states for a coupled Schrödinger system with potentials and nonlocal nonlinearities
- A semilinear elliptic system involving nonlinear boundary condition and sign-changing weight function
- The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Unstable Ground State of Nonlinear Klein-Gordon Equations
- Existence of solutions for critical Choquard equations via the concentration-compactness method
- A critical fractional Choquard–Kirchhoff problem with magnetic field
- On harnack type inequalities and their application to quasilinear elliptic equations
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