Boundedness and decay of solutions for some fractional magnetic Schrödinger equations in \(\mathbb{R}^N\)
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Publication:1756603
DOI10.1007/s00032-018-0283-3zbMath1475.35383OpenAlexW2881603385MaRDI QIDQ1756603
Publication date: 21 December 2018
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-018-0283-3
Fractional derivatives and integrals (26A33) Integro-differential operators (47G20) Fractional partial differential equations (35R11)
Related Items (8)
On a fractional magnetic Schrödinger equation in \(\mathbb{R}\) with exponential critical growth ⋮ Asymptotic decay of solutions for sublinear fractional Choquard equations ⋮ The nontrivial solutions for fractional Schrödinger-Poisson equations with magnetic fields and critical or supercritical growth ⋮ Multiplicity and concentration of solutions for a fractional Kirchhoff equation with magnetic field and critical growth ⋮ Multiple concentrating solutions for a fractional Kirchhoff equation with magnetic fields ⋮ Multiplicity and concentration results for a fractional Schrödinger-Poisson type equation with magnetic field ⋮ Existence and multiplicity results for the fractional magnetic Schrödinger equations with critical growth ⋮ Existence of entire solutions for critical Sobolev–Hardy problems involving magnetic fractional operator
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlocal diffusion and applications
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for a semilinear elliptic equation with critical growth and magnetic field
- Kato's inequality for magnetic relativistic Schrödinger operators
- Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
- Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity
- Fractional NLS equations with magnetic field, critical frequency and critical growth
- A maximum principle applied to quasi-geostrophic equations
- Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields
- A semilinear Schrödinger equation in the presence of a magnetic field
- Multiplicity results for magnetic fractional problems
- Semilinear fractional elliptic equations involving measures
- Schrödinger operators with singular potentials
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Bourgain-Brézis-Mironescu formula for magnetic operators
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
- On Some Pointwise Inequalities Involving Nonlocal Operators
- Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
- Ground states for fractional magnetic operators
- Regularity of the obstacle problem for a fractional power of the laplace operator
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- Magnetic Relativistic Schrödinger Operators and Imaginary-time Path Integrals
- A critical fractional Choquard–Kirchhoff problem with magnetic field
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