This paper deals with the existence of nontrivial solutions for critical possibly degenerate Kirchhoff fractional (p, q) systems. For clarity, the results are first presented in the scalar case, and then extended into the vectorial framework. The main features and novelty of the paper are the (p, q) growth of the fractional operator, the double lack of compactness as well as the fact that the systems can be degenerate. As far as we know the results are new even in the scalar case and when the Kirchhoff model considered is non-degenerate.

Fiscella, A., & Pucci, P. (2020). Degenerate Kirchhoff (p, q)-Fractional systems with critical nonlinearities. FRACTIONAL CALCULUS & APPLIED ANALYSIS, 23(3), 723-752 [10.1515/fca-2020-0036].

Degenerate Kirchhoff (p, q)-Fractional systems with critical nonlinearities

Fiscella A.
;
2020

Abstract

This paper deals with the existence of nontrivial solutions for critical possibly degenerate Kirchhoff fractional (p, q) systems. For clarity, the results are first presented in the scalar case, and then extended into the vectorial framework. The main features and novelty of the paper are the (p, q) growth of the fractional operator, the double lack of compactness as well as the fact that the systems can be degenerate. As far as we know the results are new even in the scalar case and when the Kirchhoff model considered is non-degenerate.
Articolo in rivista - Articolo scientifico
Scientifica
critical nonlinearities; integro–differential operators; Kirchhoff systems; variational methods;
English
Fiscella, A., & Pucci, P. (2020). Degenerate Kirchhoff (p, q)-Fractional systems with critical nonlinearities. FRACTIONAL CALCULUS & APPLIED ANALYSIS, 23(3), 723-752 [10.1515/fca-2020-0036].
Fiscella, A; Pucci, P
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/382831
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