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Infinitely many solutions for fractional Kirchhoff-Sobolev-Hardy critical problems

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Author(s):
Ambrosio, Vincenzo ; Fiscella, Alessio ; Isernia, Teresa
Total Authors: 3
Document type: Journal article
Source: Electronic Journal of Qualitative Theory of Differential Equations; v. N/A, n. 25, p. 13-pg., 2019-01-01.
Abstract

We investigate a class of critical stationary Kirchhoff fractional p-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of infinitely many arbitrarily small solutions converging to zero. (AU)

FAPESP's process: 17/19752-3 - Fractional problems with lack of compactness
Grantee:Alessio Fiscella
Support Opportunities: Regular Research Grants