On critical Kirchhoff problems driven by the fractional Laplacian

DOI10.1007/S00526-021-02065-8zbMath1472.35425arXiv2104.11608OpenAlexW3198339161WikidataQ115386459 ScholiaQ115386459MaRDI QIDQ1981621

Simone Secchi, Giovanni Molica Bisci, Luigi Appolloni

Publication date: 6 September 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11608

zbMATH Keywords

fractional Laplacian operator with Kirchhoff-type coefficient

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (5)

Fractional Kirchhoff-Choquard equations involving upper critical exponent and general nonlinearity ⋮ A perturbed fractional p-Kirchhoff problem with critical nonlinearity ⋮ On the fractional Kirchhoff equation with critical Sobolev exponent ⋮ On the singularly perturbation fractional Kirchhoff equations: critical case ⋮ Non-degeneracy of positive solutions for fractional Kirchhoff problems: high dimensional cases

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