Multiple solutions for a noncooperative Kirchhoff‐type system involving the fractional  p ‐Laplacian and critical exponents | Zendy

Liang Sihua | Zendy; Molica Bisci Giovanni | Zendy; Zhang Binlin | Zendy

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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.

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