Normalized solutions for Choquard equations with general nonlinearities
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Publication:2202481
DOI10.3934/era.2020017zbMath1447.49011OpenAlexW3009438981MaRDI QIDQ2202481
Sitong Chen, Shuai Yuan, Xian Hua Tang
Publication date: 18 September 2020
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2020017
positive solutionsweak solutionsminimax methodvariational methodChoquard equationsnormalized solution
Existence of solutions for minimax problems (49J35) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09)
Related Items (9)
Nonexistence, existence and symmetry of normalized ground states to Choquard equations 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 for a Choquard equation with exponential growth in \(\mathbb{R}^2\) ⋮ Normalized solutions to the nonlinear Choquard equations with Hardy-Littlewood-Sobolev upper critical exponent ⋮ Sufficient and necessary conditions for normalized solutions to a Choquard equation ⋮ Normalized solutions to lower critical Choquard equation with a local perturbation ⋮ Standing waves to upper critical Choquard equation with a local perturbation: multiplicity, qualitative properties and stability
Cites Work
- Unnamed Item
- The mass concentration phenomenon for \(L^2\)-critical constrained problems related to Kirchhoff equations
- Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
- A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
- Stationary solutions of the Schrödinger-Newton model -- an ODE approach.
- Scaling properties of functionals and existence of constrained minimizers
- High energy solutions of the Choquard equation
- On finite energy solutions of fractional order equations of the Choquard type
- Solutions of Hartree-Fock equations for Coulomb systems
- On gravity's role in quantum state reduction
- Minimax theorems
- Ground state solutions of Nehari-Pohozaev type for the planar Schrödinger-Poisson system with general nonlinearity
- Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
- Ground state solutions of Nehari-Pankov type for Schrödinger equations with local super-quadratic conditions
- Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
- Berestycki-Lions conditions on ground state solutions for a nonlinear Schrödinger equation with variable potentials
- Normalized solutions for Schrödinger-Poisson equations with general nonlinearities
- On the planar Schrödinger-Poisson system with the axially symmetric potential
- Multiple normalized solutions for quasi-linear Schrödinger equations
- Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
- Sharp nonexistence results of prescribed \(L^2\)-norm solutions for some class of Schrödinger-Poisson and quasi-linear equations
- Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
- The existence of positive solutions with prescribed L2-norm for nonlinear Choquard equations
- Existence of solutions with prescribed norm for semilinear elliptic equations
- On regular solutions of a nonlinear equation of Choquard's type
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- An analytical approach to the Schrödinger-Newton equations
- Spherically-symmetric solutions of the Schrödinger-Newton equations
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