Bifurcation results for the critical Choquard problem involving fractional \(p\)-Laplacian operator

DOI10.1186/s13661-018-1050-7zbMath1499.35691OpenAlexW2889011472WikidataQ129329671 ScholiaQ129329671MaRDI QIDQ2126446

Yuling Wang, Yingchen Yang

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-018-1050-7

zbMATH Keywords

critical exponentfractional \(p\)-LaplacianChoquard equationpseudo-index\({\mathbb{Z}}_2 \)-cohomological index

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Related Items (8)

Existence results for non-local elliptic systems with Hardy-Littlewood-Sobolev critical nonlinearities ⋮ Fractional Kirchhoff-Choquard equations involving upper critical exponent and general nonlinearity ⋮ Existence to fractional critical equation with Hardy-Littlewood-Sobolev nonlinearities ⋮ Ground states solutions for a modified fractional Schrödinger equation with a generalized Choquard nonlinearity ⋮ 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 ⋮ A critical fractional Choquard problem involving a singular nonlinearity and a Radon measure ⋮ Critical Kirchhoff-Choquard system involving the fractional \(p\)-Laplacian operator and singular nonlinearities

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