Multiplicity of normalized semi-classical states for a class of nonlinear Choquard equations
DOI10.1515/ANONA-2024-0038MaRDI QIDQ6630688
Publication date: 31 October 2024
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
variational methodsLusternik-Schnirelmann categoryChoquard equationsmultiplicity of normalized solutions
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
- Semi-classical states for the Choquard equation
- A guide to the Choquard equation
- Existence and multiplicity of positive solutions to a \(p\)-Laplacian equation in \(\mathbb R^N\).
- Stationary solutions of the Schrödinger-Newton model -- an ODE approach.
- Classification of positive solitary solutions of the nonlinear Choquard equation
- On a class of nonlinear Schrödinger equations
- Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations
- Elliptic partial differential equations of second order
- Multiple normalized solutions for a competing system of Schrödinger equations
- Local mountain passes for semilinear elliptic problems in unbounded domains
- On gravity's role in quantum state reduction
- Minimax theorems
- Normalized solutions of nonlinear Schrödinger equations
- Standing waves to upper critical Choquard equation with a local perturbation: multiplicity, qualitative properties and stability
- On existence of multiple normalized solutions to a class of elliptic problems in whole \(\mathbb{R}^N\)
- Normalized solutions for a critical Hartree equation with perturbation
- Multiple normalized solutions for a Sobolev critical Schrödinger equation
- A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems
- Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
- Normalized ground states for the NLS equation with combined nonlinearities
- Normalized solutions for Choquard equations with general nonlinearities
- Normalized solutions for a class of nonlinear Choquard equations
- Multiple normalized solutions for a Sobolev critical Schrödinger-Poisson-Slater equation
- Nonlinear scalar field equations with \(L^2\) constraint: mountain pass and symmetric mountain pass approaches
- Existence, multiplicity and concentration for a class of fractional \( p \& q \) Laplacian problems in \( \mathbb{R} ^{N} \)
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Normalized solutions for the \(p\)-Laplacian equation with a trapping potential
- Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method
- The existence of positive solutions with prescribed L2-norm for nonlinear Choquard equations
- Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
- 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
- Multiple positive normalized solutions for nonlinear Schrödinger systems
- Normalized solutions for nonlinear Schrödinger systems on bounded domains
- Spherically-symmetric solutions of the Schrödinger-Newton equations
- Normalized solutions of mass supercritical Schrödinger equations with potential
- Stationary Waves with Prescribed $L^2$-Norm for the Planar Schrödinger--Poisson System
- Nonradial normalized solutions for nonlinear scalar field equations
- Existence of groundstates for a class of nonlinear Choquard equations
- On Existence of Multiple Normalized Solutions to a Class of Elliptic Problems in Whole \(\mathbb{R}^N\) via Lusternik-Schnirelmann Category
- Normalized solutions for a critical fractional Choquard equation with a nonlocal perturbation
- Global solutions for a nonlinear Kirchhoff type equation with viscosity
Related Items (1)
This page was built for publication: Multiplicity of normalized semi-classical states for a class of nonlinear Choquard equations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6630688)