Fractional NLS equations with magnetic field, critical frequency and critical growth
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Publication:1692188
DOI10.1007/s00229-017-0937-4zbMath1401.35311arXiv1606.08471OpenAlexW2465759602MaRDI QIDQ1692188
Zhang Xia, Marco Squassina, Zhang Binlin
Publication date: 26 January 2018
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.08471
Critical exponents in context of PDEs (35B33) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
- Ground states for fractional Schrödinger equations involving a critical nonlinearity
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomenon for fractional nonlinear Schrödinger equations
- Bound states of nonlinear Schrödinger equations with magnetic fields
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Existence and concentration of solutions for a non-linear fractional Schrödinger equation with steep potential well
- Soliton dynamics for the nonlinear Schrödinger equation with magnetic field
- Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field
- Variational methods for potential operator equations: with applications to nonlinear elliptic equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- On the existence of solutions for the critical fractional Laplacian equation in \(\mathbb{R}^N\)
- Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- A minimum-maximum principle for a class of non-linear integral equations
- Bourgain-Brézis-Mironescu formula for magnetic operators
- A critical Kirchhoff type problem involving a nonlocal operator
- Solutions of perturbed Schrödinger equations with critical nonlinearity
- Bound state for the fractional Schrödinger equation with unbounded potential
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Nonlinear Diffusion with Fractional Laplacian Operators
- Ground states for fractional magnetic operators
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Magnetic Relativistic Schrödinger Operators and Imaginary-time Path Integrals
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Ground states for fractional Schrödinger equations with critical growth
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