Mass minimizers and concentration for nonlinear Choquard equations in \({\mathbb R}^N\)
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Publication:526131
DOI10.12775/TMNA.2016.066zbMath1371.35115arXiv1502.01560OpenAlexW1577516995MaRDI QIDQ526131
Publication date: 8 May 2017
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.01560
Related Items (30)
Nonexistence, existence and symmetry of normalized ground states to Choquard equations with a local perturbation ⋮ Existence of positive solutions for a class of quasilinear Schrödinger equations of Choquard type ⋮ Normalized solutions for a critical Hartree equation with perturbation ⋮ Normalized ground states for the critical fractional Choquard equation with a local perturbation ⋮ Normalized saddle solutions for a mass supercritical Choquard equation ⋮ The existence and asymptotic behaviours of normalized solutions for critical fractional Schrödinger equation with Choquard term ⋮ Normalized solutions for the fractional Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent ⋮ Existence and local uniqueness of normalized peak solutions for a Schrödinger-Newton system ⋮ Normalized solutions to the critical Choquard-type equations with weakly attractive potential and nonlocal perturbation ⋮ Prescribed mass standing waves for energy critical Hartree equations ⋮ Blow-up behavior of prescribed mass minimizers for nonlinear Choquard equations with singular potentials ⋮ Standing waves with prescribed norm for the coupled Hartree-Fock system ⋮ Normalized solutions to the nonlinear Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent ⋮ Normalized bound states for the Choquard equations in exterior domains ⋮ Asymptotic behaviors of normalized solutions for a class of Choquard equations ⋮ Sufficient and necessary conditions for normalized solutions to a Choquard equation ⋮ Normalized ground states for the Schrödinger equation with Hartree type and square-root nonlinearities ⋮ Multiple normalized solutions for the coupled Hartree-Fock system with upper critical exponent ⋮ Existence and stability of ground states for the Hartree equation with a magnetic field ⋮ Normalized solutions to nonlinear scalar field equations with doubly nonlocal terms and critical exponent ⋮ Normalized solutions to lower critical Choquard equation with a local perturbation ⋮ Normalized solutions for a class of nonlinear Choquard equations ⋮ Standing waves with prescribed mass for the Schrödinger equations with van der Waals type potentials ⋮ Blow-up profile of pseudo-relativistic Hartree equations with singular potentials ⋮ Ground State Solutions for the Nonlinear Choquard Equation with Prescribed Mass ⋮ The Choquard equation with weighted terms and Sobolev-Hardy exponent ⋮ Concentration behavior of nonlinear Hartree-type equation with almost mass critical exponent ⋮ Multiple normalized solutions for Choquard equations involving Kirchhoff type perturbation ⋮ Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities ⋮ Standing waves to upper critical Choquard equation with a local perturbation: multiplicity, qualitative properties and stability
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