Existence and classification of positive solutions for coupled purely critical Kirchhoff system

DOI10.1142/S1664360724500024zbMATH Open1548.35128MaRDI QIDQ6611253

Xiao Luo, Yahui Gao, Maoding Zhen

Publication date: 26 September 2024

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorcritical exponentexistence of ground statescoupled Kirchhoff system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)

Cites Work

• New existence and symmetry results for least energy positive solutions of Schrödinger systems with mixed competition and cooperation terms
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• Critical system involving fractional Laplacian
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• Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
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• Existence and asymptotic behavior of vector solutions for coupled nonlinear Kirchhoff-type systems
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• A planar Schrödinger-Newton system with Trudinger-Moser critical growth
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• Ground States and Bound States of a Nonlinear Schrödinger System
• Standing waves of some coupled nonlinear Schrödinger equations
• On coupled nonlinear Schrödinger systems with mixed couplings
• Construction of infinitely many solutions for two-component Bose-Einstein condensates with nonlocal critical interaction
• Standing waves with prescribed norm for the coupled Hartree-Fock system
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Related Items (3)

Nonlocal \(Q\)-Laplacian equation on the Heisenberg group ⋮ Existence and multiplicity for fractional differential equations with \(m(\xi)\)-Kirchhoff type-equation ⋮ The Nehari manifold for anisotropic Kirchhoff problems involving variable singular exponent and critical terms

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