Normalized solutions for the fractional NLS with mass supercritical nonlinearity
DOI10.1016/j.jde.2021.03.016zbMath1471.35102arXiv2006.00239OpenAlexW3138093602MaRDI QIDQ2020117
Simone Secchi, Luigi Appolloni
Publication date: 23 April 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.00239
supercritical nonlinearitynonlinear fractional Schrödinger equationpositive ground stateprescribed mass
Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Fractional partial differential equations (35R11)
Related Items (14)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear scalar field equations. I: Existence of a ground state
- Symétrie et compacité dans les espaces de Sobolev
- A mass supercritical problem revisited
- Normalized solutions to the fractional Schrödinger equations with combined nonlinearities
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Normalized solutions for the fractional Schrödinger equation with a focusing nonlocal L2-critical or L2-supercritical perturbation
- On the behavior of weak convergence under nonlinearities and applications
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
This page was built for publication: Normalized solutions for the fractional NLS with mass supercritical nonlinearity