Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction

DOI10.1142/s0219530523500185zbMath1528.35141OpenAlexW4386000603MaRDI QIDQ6145798

Amin Esfahani

Publication date: 9 January 2024

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530523500185

zbMATH Keywords

variational methodfractional NLS systemprescribed solution

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

Minimizers of fractional NLS energy functionals in \(\mathbb{R}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
• Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
• On fractional Schrödinger equations in \({\mathbb R}^N\) without the Ambrosetti-Rabinowitz condition
• A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
• Remarks on some dispersive estimates
• Optical solitons due to quadratic nonlinearities: From basic physics to futuristic applications
• Multiplicity and concentration of solutions for elliptic systems with vanishing potentials
• Existence and orbital stability of standing waves for nonlinear Schrödinger systems
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Anisotropic Gagliardo-Nirenberg inequality with fractional derivatives
• Multiple normalized solutions for a competing system of Schrödinger equations
• Normalized solutions for Schrödinger system with quadratic and cubic interactions
• Bound state solutions for fractional Schrödinger-Poisson systems
• Multiple positive solutions for the Schrödinger-Poisson equation with critical growth
• Strong instability of standing waves for a system NLS with quadratic interaction
• Normalized solution to the Schrödinger equation with potential and general nonlinear term: mass super-critical case
• A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
• On a system of nonlinear Schrödinger equations with quadratic interaction
• Solitons in quadratic media
• Uniqueness of Radial Solutions for the Fractional Laplacian
• Existence of solutions with prescribed norm for semilinear elliptic equations
• Multiple positive normalized solutions for nonlinear Schrödinger systems
• Normalized solutions for nonlinear Schrödinger systems
• Dynamics of solutions of a fractional NLS system with quadratic interaction
• Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation
• On fractional Choquard equations
• Methods in Nonlinear Analysis
• Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials
• On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole \(\mathbb{R}^N\) via Lusternik-Schnirelmann Category

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