Existence and multiplicity results for infinitely many solutions for Kirchhoff‐type problems in     R    N | Zendy

Chen Peng | Zendy; Tang X.H. | Zendy

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Existence and multiplicity results for infinitely many solutions for Kirchhoff‐type problems in R N

Author(s) -

Chen Peng,

Tang X.H.

Publication year - 2014

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2938

Subject(s) - mathematics , multiplicity (mathematics) , type (biology) , critical point (mathematics) , pure mathematics , mathematical analysis , biology , ecology

In this paper, we deal with existence and multiplicity of solutions of Kirchhoff‐type problemsV l = b 1 ly 1 0 + b 2 ly 1 0 + ... + b q ly q 0Under more relaxed assumptions on f , we establish some existence criteria to guarantee that the preceding problem has at least one or infinitely many nontrivial solutions by using the genus properties in critical point theory. Copyright © 2013 John Wiley & Sons, Ltd.

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