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scientific article; zbMATH DE number 7572903

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7572903

Statements

scholarly article

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publication date

18 August 2022

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full work available at URL

http://121.43.60.238/sxwlxbA/EN/abstract/abstract16651.shtml

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zbMATH Keywords

fractional Choquard equation

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variational method

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Ljusternik-Schnirelmann theory

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positive solution

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concentrating phenomenon

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Wei-Qiang Zhang

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MaRDI profile type

MaRDI publication profile

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Singularly perturbed critical Choquard equations

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Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method

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A multiplicity result for a nonlinear fractional Schrödinger equation in \(\mathbb{R}^N\) without the Ambrosetti-Rabinowitz condition

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Multiplicity and concentration results for a fractional Choquard equation via penalization method

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Concentration phenomena for a fractional Choquard equation with magnetic field

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Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology

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Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth

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Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions

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Nehari-type ground state solutions for a Choquard equation with doubly critical exponents

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Hitchhiker's guide to the fractional Sobolev spaces

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)

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Existence of multiple semiclassical solutions for a critical Choquard equation with indefinite potential

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Small linear perturbations of fractional Choquard equations with critical exponent

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The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions

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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 new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations

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Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

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On a class of nonlinear Schrödinger equations

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Multiplicity and concentration results for fractional Choquard equations: doubly critical case

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Regularity of the obstacle problem for a fractional power of the laplace operator

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Ground state sign-changing solutions for Kirchhoff type problems in bounded domains

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Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions

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A critical fractional Choquard–Kirchhoff problem with magnetic field

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Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth

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Multiplicity and concentration of solutions for Choquard equations with critical growth

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Semiclassical states for fractional Choquard equations with critical growth

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High perturbations of Choquard equations with critical reaction and variable growth

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5096710

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