期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 75, 期 13, 页码 5032-5038出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2012.04.018
关键词
Critical points; Nonlocal p-Kirchhoff problem; Morse theory; Local linking
资金
- National Natural Science Foundation of China [NSFC 10971088, 10971087]
In this paper, Morse theory is used to show the existence of nontrivial solutions to the nonlocal p-Kirchhoff-type quasilinear elliptic equation [M (integral(Omega) vertical bar del u vertical bar(p)dx)](p-1) (-del(p)u) = f(x, u) in a smooth bounded domain Omega subset of R-N with Dirichlet boundary condition. (C) 2012 Elsevier Ltd. All rights reserved.
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