Ground states for a linearly coupled indefinite Schrödinger system with steep potential well

DOI10.1063/5.0051029zbMath1472.81080OpenAlexW3194484050MaRDI QIDQ4958106

Kuan-Hsiang Wang, Ying-Chieh Lin, Tsung-fang Wu

Publication date: 6 September 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0051029

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Fiber bundles in algebraic topology (55R10) Bosonic systems in quantum theory (81V73)

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Concentrating ground state for linearly coupled Schrödinger systems involving critical exponent cases

Cites Work

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• Ground states for a system of Schrödinger equations with critical exponent
• Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent
• On coupled systems of Schrödinger equations
• Standing waves for linearly coupled Schrödinger equations with critical exponent
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Solitons of linearly coupled systems of semilinear non-autonomous equations on \(\mathbb R^{n}\)
• Remarks on some systems of nonlinear Schrödinger equations
• Positive solutions for nonlinear Schrödinger equations with deepening potential well
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential
• On a class of linearly coupled systems on \(\mathbb{R}^N\) involving asymptotically linear terms
• Standing waves for a coupled system of nonlinear Schrödinger equations
• Multi-bump solutions for Choquard equation with deepening potential well
• Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations
• On linearly coupled Schrödinger systems
• Segregated vector solutions for linearly coupled nonlinear Schrodinger systems
• Schrödinger semigroups
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• On a Class of Nonlinear Second-Order Differential Equations
• Positive solutions for the p-Laplacian: application of the fibrering method
• Novel soliton states and bifurcation phenomena in nonlinear fiber couplers
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• Semiclassical solutions for linearly coupled Schrödinger equations without compactness
• Ground states for a linearly coupled system of Schrödinger equations on R N
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• GLOBAL BRANCH OF SOLUTIONS FOR NON-LINEAR SCHRÖDINGER EQUATIONS WITH DEEPENING POTENTIAL WELL