Asymptotic behavior of ground states for a fractional Choquard equation with critical growth

DOI10.3934/math.2021228OpenAlexW3126729114MaRDI QIDQ2144867

Qing Miao, Xianyong Yang

Publication date: 17 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021228

zbMATH Keywords

asymptotic behaviorcritical growthground statesfractional Choquard equation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) PDEs in connection with quantum mechanics (35Q40)

Cites Work

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• Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
• Hitchhiker's guide to the fractional Sobolev spaces
• A critical fractional equation with concave-convex power nonlinearities
• Existence and multiplicity of positive solutions for fractional Schrödinger equations with critical growth
• Existence and concentration of solutions for a non-linear fractional Schrödinger equation with steep potential well
• Positive solutions of nonlinear problems involving the square root of the Laplacian
• Multiple positive solutions for a nonlinear Schrödinger equation
• On critical Choquard equation with potential well
• Fractional Choquard equation with critical nonlinearities
• Stability of standing waves for the fractional Schrödinger-Choquard equation
• On the variational principle
• Positive solutions of a Schrödinger equation with critical nonlinearity
• Minimax theorems
• Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential
• On existence and concentration behavior of positive ground state solutions for a class of fractional Schrödinger-Choquard equations
• Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth
• Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent
• Existence results for a doubly nonlocal equation
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• A concave—convex elliptic problem involving the fractional Laplacian
• Non-local Diffusions, Drifts and Games
• Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
• Ground states solutions for modified fourth-order elliptic systems with steep well potential
• Existence and asymptotic behavior of the least energy solutions for fractional Choquard equations with potential well
• An Extension Problem Related to the Fractional Laplacian
• The Brezis-Nirenberg result for the fractional Laplacian

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