Nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical growth

DOI10.1007/s12346-023-00928-3OpenAlexW4390502423MaRDI QIDQ6177472

Wenbo Wang, Jianjun Nie, Quanqing Li

Publication date: 17 January 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-023-00928-3

zbMATH Keywords

existencefractional Schrödinger equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• Bound states of nonlinear Schrödinger equations with magnetic fields
• Soliton solutions for fractional Schrödinger equations
• Fractional quantum mechanics and Lévy path integrals
• Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian
• Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity
• On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity
• Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field
• Fractional Schrödinger equations involving potential vanishing at infinity and supercritical exponents
• Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field
• Existence of positive solutions for a class of critical fractional Schrödinger equations with potential vanishing at infinity
• On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging
• 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
• Bound state for the fractional Schrödinger equation with unbounded potential
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian
• Ground states for Kirchhoff-type equations with critical or supercritical growth
• Ground states for fractional magnetic operators
• Existence and multiplicity of solutions for superlinear fractional Schrödinger equations in ℝN
• Ground states for fractional Schrödinger equations with critical growth
• Existence of nontrivial solutions for fractional Schrödinger equations with critical or supercritical growth
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• Ground states for fractional Schrödinger equations with critical growth
• An Extension Problem Related to the Fractional Laplacian

This page was built for publication: Nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical growth