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- Title
On critical Kirchhoff problems driven by the fractional Laplacian.
- Authors
Appolloni, Luigi; Molica Bisci, Giovanni; Secchi, Simone
- Abstract
We study a nonlocal parametric problem driven by the fractional Laplacian operator combined with a Kirchhoff-type coefficient and involving a critical nonlinearity term in the Sobolev embedding sense. Our approach is of variational and topological nature. The obtained results can be viewed as a nontrivial extension to the nonlocal setting of some recent contributions already present in the literature.
- Subjects
LAPLACIAN operator
- Publication
Calculus of Variations & Partial Differential Equations, 2021, Vol 60, Issue 6, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-021-02065-8