Normalized solutions for a class of nonlinear Choquard equations

DOI10.1007/s42985-020-00036-wzbMath1459.35173OpenAlexW3083423550WikidataQ115370479 ScholiaQ115370479MaRDI QIDQ2218228

Zhaoli Liu, Yan Yan Liu, Thomas J. Bartsch

Publication date: 15 January 2021

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-020-00036-w

zbMATH Keywords

nonlinear Choquard equationexistence of infinitely many normalized solutionsstretched functional

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (24)

Nonexistence, existence and symmetry of normalized ground states to Choquard equations with a local perturbation ⋮ 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 ⋮ Normalized solutions to the critical Choquard-type equations with weakly attractive potential and nonlocal perturbation ⋮ Multiple normalized solutions for biharmonic Choquard equation with Hardy-Littlewood-Sobolev upper critical and combined nonlinearities ⋮ Normalized ground states for a Hardy-Littlewood-Sobolev upper critical Schrödinger equation with double Choquard type nonlinear terms ⋮ Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation ⋮ Normalized solutions for a Choquard equation with exponential growth in \(\mathbb{R}^2\) ⋮ On some qualitative aspects for doubly nonlocal equations ⋮ Normalized solutions to fractional mass supercritical Choquard systems ⋮ Normalized solutions to the nonlinear Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent ⋮ Normalized ground states to the \(p\)-Laplacian equation with general nonlinearities ⋮ Semi-classical analysis around local maxima and saddle points for degenerate nonlinear Choquard equations ⋮ Sufficient and necessary conditions for normalized solutions to a Choquard equation ⋮ Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation ⋮ 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 ⋮ Standing waves with prescribed mass for the Schrödinger equations with van der Waals type potentials ⋮ Ground State Solutions for the Nonlinear Choquard Equation with Prescribed Mass ⋮ The nonexistence of vortices for rotating Bose-Einstein condensates in non-radially symmetric traps ⋮ Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities

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