Bound state solutions of fractional Choquard equation with Hardy-Littlewood-Sobolev critical exponent (Q2244994)

scientific article

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English	Bound state solutions of fractional Choquard equation with Hardy-Littlewood-Sobolev critical exponent	scientific article

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instance of

scholarly article

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title

Bound state solutions of fractional Choquard equation with Hardy-Littlewood-Sobolev critical exponent (English)

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published in

Computational and Applied Mathematics

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publication date

12 November 2021

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zbMATH Keywords

fractional Laplacian

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Choquard equation

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bound state solutions

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author

Xiao-Long Yang

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-021-01559-7

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cites work

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Singularly perturbed critical Choquard equations

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Q4826746

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Existence of positive solutions of the equation $-\Delta u+a(x)u=u^{(N+2)/(N-2)}$ in ${\mathbb{R}}^ N$

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$p$-Laplacian problems involving critical Hardy-Sobolev exponents

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Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation

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Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations

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Hitchhiker's guide to the fractional Sobolev spaces

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Uniqueness and nondegeneracy of solutions for a critical nonlocal equation

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A strongly indefinite Choquard equation with critical exponent due to the Hardy–Littlewood–Sobolev inequality

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

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Existence of solutions for critical Choquard equations via the concentration-compactness method

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$\Gamma$-Limit of a Phase-Field Model of Dislocations

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Existence and asymptotic behavior of the least energy solutions for fractional Choquard equations with potential well

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The Helfrich boundary value problem

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The boson star equation with initial data of low regularity

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Liouville theorem and classification of positive solutions for a fractional Choquard type equation

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On classical solutions to the Hartree equation

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

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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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On the weakly nonlinear Kelvin-Helmholtz instability of current-vortex sheets

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Q5831956

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L'intégrale de Riemann-Liouville et le problème de Cauchy

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Ground states for nonlinear fractional Choquard equations with general nonlinearities

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On critical Choquard equation with potential well

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

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The Nehari manifold for a<i>ψ</i>-Hilfer fractional<i>p</i>-Laplacian

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A global compactness result for elliptic boundary value problems involving limiting nonlinearities

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Identifiers

zbMATH Open document ID

1476.35009

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DOI

10.1007/s40314-021-01559-7

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2244994