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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.