Existence of entire solutions for critical Sobolev–Hardy problems involving magnetic fractional operator
From MaRDI portal
Publication:5860809
DOI10.1080/17476933.2020.1788003zbMath1478.35228OpenAlexW3044106607MaRDI QIDQ5860809
Tianqing An, Libo Yang, Jiabin Zuo
Publication date: 23 November 2021
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2020.1788003
variational methodscritical exponentsHardy coefficientsfractional magnetic operatorSchrödinger-Kirchhoff problem
Variational methods applied to PDEs (35A15) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Entire solutions to PDEs (35B08) Integro-partial differential equations (35R09)
Related Items
Higher order evolution inequalities involving Leray–Hardy potential singular on the boundary ⋮ Critical fractional \((p, q)\)-Kirchhoff type problem with a generalized Choquard nonlinearity and magnetic field
Cites Work
- Unnamed Item
- Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
- Hitchhiker's guide to the fractional Sobolev spaces
- \(p\)-fractional Kirchhoff equations involving critical nonlinearities
- The Maz'ya-Shaposhnikova limit in the magnetic setting
- Existence of infinitely many solutions for degenerate \(p\)-fractional Kirchhoff equations with critical Sobolev-Hardy nonlinearities
- Multiplicity and concentration of solutions to the nonlinear magnetic Schrödinger equation
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Symétrie et compacité dans les espaces de Sobolev
- Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity
- Fractional NLS equations with magnetic field, critical frequency and critical growth
- Existence of solutions for a critical fractional Kirchhoff type problem in \(\mathbb{R}^N\)
- On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity
- Boundedness and decay of solutions for some fractional magnetic Schrödinger equations in \(\mathbb{R}^N\)
- Multiplicity and concentration results for some nonlinear Schrödinger equations with the fractional \(p\)-Laplacian
- Extinction for a discrete competition system with the effect of toxic substances
- On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
- Multiplicity and concentration of solutions for a fractional Kirchhoff equation with magnetic field and critical growth
- Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
- Multiplicity results for magnetic fractional problems
- Multiple concentrating solutions for a fractional Kirchhoff equation with magnetic fields
- Fractional \(p\)-Laplacian problems with Hardy terms and critical exponents
- Multiplicity and concentration results for magnetic relativistic Schrödinger equations
- Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula
- Concentrating solutions for a magnetic Schrödinger equation with critical growth
- Existence of entire solutions for Schrödinger-Hardy systems involving two fractional operators
- Kirchhoff-Hardy fractional problems with lack of compactness
- On a fractional magnetic Schrödinger equation in \(\mathbb{R}\) with exponential critical growth
- Bourgain-Brézis-Mironescu formula for magnetic operators
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Ground states for fractional magnetic operators
- Variational Methods for Nonlocal Fractional Problems
- Infinitely many solutions for magnetic fractional problems with critical Sobolev‐Hardy nonlinearities
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Some characterizations of magnetic Sobolev spaces
- Fractional magnetic Schrödinger‐Kirchhoff problems with convolution and critical nonlinearities
- Existence and concentration results for some fractional Schrödinger equations in RN with magnetic fields
- A critical fractional Choquard–Kirchhoff problem with magnetic field
- Borderline Variational Problems Involving Fractional Laplacians and Critical Singularities