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

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.



Titolo: Degenerate Kirchhoff (p,q)-fractional systems with critical nonlinearities
Autori: 
PUCCI, Patrizia (Corresponding)
mostra contributor esterni 
Data di pubblicazione: 2020
Rivista: 
FRACTIONAL CALCULUS & APPLIED ANALYSIS  
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.
Handle: http://hdl.handle.net/11391/1471941
Appare nelle tipologie:1.1 Articolo in rivista

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http://hdl.handle.net/11391/1471941
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