On a coupled Schrödinger system with Stein-Weiss type convolution part

DOI10.1007/s12220-021-00645-wzbMath1473.35205OpenAlexW3138311438MaRDI QIDQ1979236

Xianmei Zhou, Min-Bo Yang

Publication date: 2 September 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00645-w

zbMATH Keywords

symmetryregularityasymptotic behaviorHartree systemsStein-Weiss type convolution part

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Related Items (9)

Normalized solutions for Schrödinger equations with Stein-Weiss potential of critical exponential growth ⋮ Fractional Choquard logarithmic equations with Stein-Weiss potential ⋮ Schrödinger equations with Stein-Weiss type nonlinearity and potential vanishing at infinity ⋮ Classification of solutions to a nonlocal equation with doubly Hardy-Littlewood-Sobolev critical exponents ⋮ Bifurcation analysis for a modified quasilinear equation with negative exponent ⋮ Large perturbations of a magnetic system with Stein-Weiss convolution nonlinearity ⋮ Existence and Liouville theorems for coupled fractional elliptic system with Stein-Weiss type convolution parts ⋮ Qualitative properties and classification of solutions to elliptic equations with Stein-Weiss type convolution part ⋮ Critical Schrödinger equations with Stein-Weiss convolution parts in \(\mathbb{R}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of solutions for a nonlinear Choquard equation with potential vanishing at infinity
• Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
• A local mountain pass type result for a system of nonlinear Schrödinger equations
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
• Bound states for a coupled Schrödinger system
• Weighted Hardy-Littlewood-Sobolev inequalities and systems of integral equations
• Regularity, symmetry, and uniqueness of some integral type quasilinear equations
• Classification of solutions of some nonlinear elliptic equations
• Classification of solutions of higher order conformally invariant equations
• Remark on some conformally invariant integral equations: the method of moving spheres
• Liouville theorems and classification results for a nonlocal Schrödinger equation
• Local asymptotic symmetry of singular solutions to nonlinear elliptic equations
• High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents
• Singular doubly nonlocal elliptic problems with Choquard type critical growth nonlinearities
• Nondegeneracy of solutions for a critical Hartree equation
• Uniqueness and nondegeneracy of solutions for a critical nonlocal equation
• Existence of positive solutions for integral systems of the weighted Hardy-Littlewood-Sobolev type
• Existence of multiple semiclassical solutions for a critical Choquard equation with indefinite potential
• Positive ground states for coupled nonlinear Choquard equations involving Hardy-Littlewood-Sobolev critical exponent
• Least energy solutions for coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents
• Positive least energy solutions for coupled nonlinear Choquard equations with Hardy-Littlewood-Sobolev critical exponent
• Existence of semiclassical states for a coupled Schrödinger system with potentials and nonlocal nonlinearities
• Spikes in two coupled nonlinear Schrödinger equations
• Quantitative analysis of some system of integral equations
• Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Symmetry and Regularity of Solutions to the Weighted Hardy–Sobolev Type System
• Sign-changing Solutions and Phase Separation for an Elliptic System with Critical Exponent
• On singularity formation for theL²-critical Boson star equation
• Mean field dynamics of boson stars
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Weighted inequalities and Stein-Weiss potentials
• Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case
• Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Qualitative Analysis for the Static Hartree-Type Equations
• On a class of coupled critical Hartree system with deepening potential
• Semiclassical states for Choquard type equations with critical growth: critical frequency case ^*
• Existence of solutions for critical Choquard equations via the concentration-compactness method
• Standing waves of some coupled nonlinear Schrödinger equations
• The best constant in a weighted Hardy-Littlewood-Sobolev inequality
• Pitt's inequality with sharp convolution estimates
• Classification of solutions for an integral equation

This page was built for publication: On a coupled Schrödinger system with Stein-Weiss type convolution part