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Multiple solutions for a noncooperative Kirchhoff‐type system involving the fractional p ‐Laplacian and critical exponents
Author(s) -
Liang Sihua,
Molica Bisci Giovanni,
Zhang Binlin
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700053
Subject(s) - mathematics , critical exponent , fractional laplacian , homogeneous , dirichlet distribution , mathematical analysis , compact space , multiplicity (mathematics) , laplace operator , p laplacian , type (biology) , boundary value problem , pure mathematics , combinatorics , scaling , geometry , ecology , biology
In this paper, we use the Limit Index Theory due to Li [19][Y. Li, 1995] and the fractional version of concentration compactness principle to study the multiplicity of solutions for a class of noncooperative fractional p ‐Laplacian elliptic system with homogeneous Dirichlet boundary conditions involving the critical exponents.