Multiple solutions for a noncooperative Kirchhoff-type system involving the fractionalp-Laplacian and critical exponents

Author:

Liang Sihua1,Molica Bisci Giovanni2,Zhang Binlin3

Affiliation:

1. College of Mathematics; Changchun Normal University; Changchun 130032 P. R. China

2. Dipartimento P.A.U.; Università degli Studi Mediterranea di Reggio Calabria Salita Melissari - Feo di Vito; Reggio Calabria 89124 Italy

3. Department of Mathematics; Heilongjiang Institute of Technology; Harbin 150050 P. R. China

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jilin Province

Natural Science Foundation of Changchun Normal University

Natural Science Foundation of Heilongjiang Province

Research Foundation of Heilongjiang Educational Committee

Publisher

Wiley

Subject

General Mathematics

Reference40 articles.

1. Lévy processes-from probability for finance and quantum groups;Applebaum;Notices Amer. Math. Soc.,2004

2. Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity;Autuori;Nonlinear Anal.,2015

3. On critical point theory for indefinite functionals in presence of symmetries;Benci;Trans. Amer. Math. Soc.,1982

4. Superlinear nonlocal fractional problems with infinitely many solutions;Binlin;Nonlinearity,2015

5. Positive solutions of nonlinear elliptic equations involving critical exponents;Brézis;Commun. Pure Appl. Math.,1983

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