Fractional Kirchhoff Hardy problems with singular and critical Sobolev nonlinearities

DOI10.1007/s00229-021-01309-3zbMath1491.35231OpenAlexW3160409872MaRDI QIDQ2139854

Alessio Fiscella, Pawan Kumar Mishra

Publication date: 19 May 2022

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-021-01309-3

zbMATH Keywords

existenceDirichlet conditionNehari manifoldsingular fractional Kirchhoff-type equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular elliptic equations (35J75) Fractional partial differential equations (35R11)

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Existence and multiplicity for fractional \(p\)-Kirchhoff problem with competitive nonlinearities and critical growth

Cites Work

• The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian
• Semilinear problems for the fractional Laplacian with a singular nonlinearity
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• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
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• A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• Regularity of the obstacle problem for a fractional power of the laplace operator
• Fractional Hardy-Sobolev operator with sign-changing and singular nonlinearity
• The Brezis-Nirenberg result for the fractional Laplacian

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