On the critical cases of linearly coupled Choquard systems

DOI10.1016/j.aml.2018.11.005zbMath1411.35106OpenAlexW2900957723WikidataQ128888139 ScholiaQ128888139MaRDI QIDQ1726617

Maxwell L. Silva, José Carlos de Albuquerque, Edcarlos D. Da Silva, Min-Bo Yang

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.11.005

zbMATH Keywords

Nehari methodcritical problemsChoquard equationslinearly coupled systems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic systems (35J47)

Related Items (12)

Multiplicity of solutions to linearly coupled Hartree systems with critical exponent ⋮ Existence and asymptotic behavior of vector solutions for linearly coupled Choquard-type systems ⋮ Existence of positive ground state solutions for the coupled Choquard system with potential ⋮ Symmetry and nonsymmetry of minimal action sign-changing solutions for the Choquard system ⋮ Existence and asymptotic behavior of solutions for generalized Choquard systems ⋮ On critical fractional systems with Hardy-Littlewood-Sobolev nonlinearities ⋮ The Brezis-Nirenberg type double critical problem for the Choquard equation ⋮ Ground states of a class of gradient systems of Choquard type with general nonlinearity ⋮ Vector solutions for linearly coupled Choquard type equations with lower critical exponents ⋮ The Brezis-Nirenberg type double critical problem for a class of Schrödinger-Poisson equations ⋮ Number of synchronized solutions for linearly coupled elliptic systems ⋮ Existence of solutions for a class of fractional coupled Choquard-type systems with potential vanishing at infinity

Cites Work

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• Nonlinear Choquard equations involving a critical local term
• On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
• Ground states of linearly coupled systems of Choquard type
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• Nonlinear Choquard equations: doubly critical case
• On gravity's role in quantum state reduction
• Minimax theorems
• Singularly perturbed critical Choquard equations
• Dyons in affine field theories
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Ground states for a linearly coupled system of Schrödinger equations on R N
• Existence of groundstates for a class of nonlinear Choquard equations

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