Bound and ground states of coupled ``NLS-KdV equations with Hardy potential and critical power

DOI10.1016/j.jde.2023.04.033zbMath1518.35294arXiv2107.13899OpenAlexW3187062499MaRDI QIDQ6155295

Rafael López-Soriano, Eduardo Colorado, Alejandro Ortega

Publication date: 12 June 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.13899

zbMATH Keywords

variational methodsnonlinear Schrödinger systemsexistence of ground states and bound states

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Related Items (1)

Nonlinear elliptic systems involving Hardy-Sobolev criticalities

Cites Work

• Unnamed Item
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• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• Positive solutions for a weakly coupled nonlinear Schrödinger system
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• The critical hyperbola for a Hamiltonian elliptic system with weights
• Some remarks on systems of elliptic equations doubly critical in the whole \(\mathbb R^N\)
• Well-posedness and existence of bound states for a coupled Schrödinger-gKdV system
• On the existence of bound and ground states for some coupled nonlinear Schrödinger-Korteweg-de Vries equations
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Existence of bound and ground states for an elliptic system with double criticality
• Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
• Coupled nonlinear Schrödinger systems with potentials
• Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations
• Well-posedness for the Schrödinger-Korteweg-de Vries system
• Ground States and Bound States of a Nonlinear Schrödinger System
• Existence and stability of ground-state solutions of a Schrödinger—KdV system
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
• Existence and symmetry of positive ground states for a doubly critical Schrödinger system
• Standing waves of some coupled nonlinear Schrödinger equations

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