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.
Ambrosio, V., Fiscella, A., Isernia, T. (2019). Infinitely many solutions for fractional Kirchhoff-Sobolev-Hardy critical problems. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS(25), 1-13 [10.14232/ejqtde.2019.1.25].
Infinitely many solutions for fractional Kirchhoff-Sobolev-Hardy critical problems
Fiscella A
;
2019
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.
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