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Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth (Q2417263)

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Language	Label	Description	Also known as
English	Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth	scientific article

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scholarly article

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Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth (English)

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zbMATH Open document ID

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10.1515/anona-2018-0019

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Advances in Nonlinear Analysis

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publication date

12 June 2019

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Choquard equation

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critical growth of the nonlinearity

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ground states

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Daniele Cassani

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1515/anona-2018-0019

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MULTIBUMP SOLUTIONS OF NONLINEAR PERIODIC SCHRÖDINGER EQUATIONS IN A DEGENERATE SETTING

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Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)

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Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth

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Singularly perturbed critical Choquard equations

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Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method

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Nonlinear scalar field equations. I: Existence of a ground state

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Soliton dynamics for the generalized Choquard equation

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Singularly perturbed nonlinear Dirichlet problems with a general nonlinearity

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Standing waves for nonlinear Schrödinger equations with a general nonlinearity

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Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential

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Standing waves with a critical frequency for nonlinear Schrödinger equations. II.

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Singularly perturbed nonlinear Dirichlet problems involving critical growth

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Classification of solutions for an integral equation

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Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities

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Semiclassical states for the nonlinear Schrödinger equation on saddle points of the potential via variational methods

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Local mountain passes for semilinear elliptic problems in unbounded domains

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Multi-peak bound states for nonlinear Schrödinger equations

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Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting

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Asymptotics for the polaron

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Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential

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On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents

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The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation

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Existence of solutions with prescribed norm for semilinear elliptic equations

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On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on <i>ℝ<sup>N</sup></i>

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A positive solution for a nonlinear Schroedinger equation on R^N

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Bounded Palais-Smale mountain-pass sequences

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Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

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Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities

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The Choquard equation and related questions

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The concentration-compactness principle in the calculus of variations. The locally compact case. II

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Classification of positive solitary solutions of the nonlinear Choquard equation

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Stationary solutions for the non-linear Hartree equation with a slowly varying potential

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Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics

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Existence of groundstates for a class of nonlinear Choquard equations

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Semi-classical states for the Choquard equation

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A guide to the Choquard equation

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Breathing modes for the Schrödinger-Poisson system with a multiple-well external potential

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Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)<sub>a</sub>

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On gravity's role in quantum state reduction

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Quantum computation, entanglement and state reduction

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On a class of nonlinear Schrödinger equations

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The Schrödinger-Poisson equation under the effect of a nonlinear local term

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A note on Schrödinger-Newton systems with decaying electric potential

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The existence of surfaces of constant mean curvature with free boundaries

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Multi-peak solution for nonlinear magnetic Choquard type equation

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On concentration of positive bound states of nonlinear Schrödinger equations

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Strongly interacting bumps for the Schrödinger–Newton equations

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Minimax theorems

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Functional Analysis

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Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part

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Multi-peak solutions for nonlinear Choquard equation with a general nonlinearity

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Standing waves for nonlinear Schrödinger equations involving critical growth

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Schrödinger–Poisson systems with a general critical nonlinearity

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A BERESTYCKI–LIONS THEOREM REVISITED

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Solutions concentrating around the saddle points of the potential for critical Schrödinger equations

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Sitelinks

Mathematics(1 entry)

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