Multi-bump solutions for fractional Schrödinger equation with electromagnetic fields and critical nonlinearity
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Publication:2196585
zbMath1448.35127MaRDI QIDQ2196585
Sihua Liang, Nguyen Thanh Chung, Binlin Zhang
Publication date: 3 September 2020
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ade/1594692077
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
Related Items (4)
Existence and multiplicity of multi-bump solutions for the double phase Kirchhoff problems with convolution term in R N ⋮ On multi-bump solutions for the Choquard-Kirchhoff equations in \(\mathbb{R}^N\) ⋮ On degenerate fractional Schrödinger–Kirchhoff–Poisson equations with upper critical nonlinearity and electromagnetic fields ⋮ On the critical fractional Schrödinger-Kirchhoff-Poisson equations with electromagnetic fields
Cites Work
- Unnamed Item
- Unnamed Item
- Ground states for fractional Schrödinger equations involving a critical nonlinearity
- Hitchhiker's guide to the fractional Sobolev spaces
- A critical fractional equation with concave-convex power nonlinearities
- Nonlocal Schrödinger-Kirchhoff equations with external magnetic field
- On multi-bump solutions of nonlinear Schrödinger equation with electromagnetic fields and critical nonlinearity in \(\mathbb {R}^N\)
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Ground state solutions of scalar field fractional Schrödinger equations
- Multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields and critical frequency
- On the least energy solutions of nonlinear Schrödinger equations with electromagnetic fields
- Multiplicity of positive solutions of a nonlinear Schrödinger equation
- Fractional quantum mechanics and Lévy path integrals
- 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
- On the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity
- Semiclassical limit for nonlinear Schrödinger equations with electromagnetic fields
- Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field.
- A semilinear Schrödinger equation in the presence of a magnetic field
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Soliton solutions to Kirchhoff type problems involving the critical growth in \(\mathbb R^N\)
- Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
- Existence results for Schrödinger-Choquard-Kirchhoff equations involving the fractional \(p\)-Laplacian
- On an electromagnetic Schrödinger equation with critical growth
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Existence of solutions for Kirchhoff type problems with critical nonlinearity in \(\mathbb R^3\)
- 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
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- A critical Kirchhoff type problem involving a nonlocal operator
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Superlinear nonlocal fractional problems with infinitely many solutions
- Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
- Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
- Some properties of weak solutions of nonlinear scalar field equations
- Existence of Multi-Bump Solutions For a Class of Quasilinear Problems
- Variational Methods for Nonlocal Fractional Problems
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- Fractional magnetic Schrödinger‐Kirchhoff problems with convolution and critical nonlinearities
- A critical fractional Choquard–Kirchhoff problem with magnetic field
- An Extension Problem Related to the Fractional Laplacian
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