Normalized solutions to fractional mass supercritical NLS systems with Sobolev critical nonlinearities
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Publication:2091407
DOI10.1007/s13324-022-00753-yzbMath1500.35269arXiv2206.13051OpenAlexW4283693055MaRDI QIDQ2091407
Vicenţiu D. Rădulescu, Jiabin Zuo
Publication date: 1 November 2022
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.13051
Critical exponents in context of PDEs (35B33) Fractional derivatives and integrals (26A33) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)
Related Items (2)
Normalized solutions for the fractional Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent ⋮ Normalized solutions to fractional mass supercritical Choquard systems
Cites Work
- Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
- Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
- Hitchhiker's guide to the fractional Sobolev spaces
- Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
- A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
- Existence and orbital stability of standing waves for nonlinear Schrödinger systems
- Multiple normalized solutions for a competing system of Schrödinger equations
- A mass supercritical problem revisited
- Normalized solutions for the fractional NLS with mass supercritical nonlinearity
- Normalized solutions for nonlinear coupled fractional systems: low and high perturbations in the attractive case
- Normalized solutions of nonautonomous Kirchhoff equations: sub- and super-critical cases
- Normalized solutions of supercritical nonlinear fractional Schrödinger equation with potential
- Positive least energy solutions for \(k\)-coupled critical systems involving fractional Laplacian
- Least energy solutions to a cooperative system of Schrödinger equations with prescribed \(L^2\)-bounds: at least \(L^2\)-critical growth
- Normalized ground states for the critical fractional NLS equation with a perturbation
- Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent
- Normalized solutions for the Schrödinger systems with mass supercritical and double Sobolev critical growth
- Normalized ground states for the critical fractional Choquard equation with a local perturbation
- The existence and multiplicity of the normalized solutions for fractional Schrödinger equations involving Sobolev critical exponent in the \(L^2\)-subcritical and \(L^2\)-supercritical cases
- A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems
- Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
- Normalized solutions to the fractional Schrödinger equations with combined nonlinearities
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Existence of solutions with prescribed norm for semilinear elliptic equations
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Dark solitons in atomic Bose–Einstein condensates: from theory to experiments
- Multiple positive normalized solutions for nonlinear Schrödinger systems
- Normalized solutions for nonlinear Schrödinger systems
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- A critical Kirchhoff‐type problem driven by a p (·)‐fractional Laplace operator with variable s (·) ‐order
- On doubly critical coupled systems involving fractional Laplacian with partial singular weight
- Normalized Solutions for Lower Critical Choquard Equations with Critical Sobolev Perturbation
- Existence and symmetry of positive ground states for a doubly critical Schrödinger system
- The Brezis-Nirenberg result for the fractional Laplacian
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