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	Critical groups at infinity for p-Laplacian equations with indefinite nonlinearities
	Sun, Ming-Zheng ; Liu, Shu-Mao
	2010
关键词	p-Laplacian Dirichlet problem Indefinite nonlinearity Morse theory ELLIPTIC-EQUATIONS DIRICHLET PROBLEMS MULTIPLE SOLUTIONS MORSE-THEORY SYMMETRY
英文摘要	In this paper, by a kind of decomposition lemma and Kunneth formula we study the critical groups at infinity for the associated functional of the following p-Laplacian equation with indefinite nonlinearities {-Delta(p)u = lambda vertical bar u vertical bar(p-2)u+a(+)(x)f(u)-a_(x)vertical bar u vertical bar-a_(x)(q-2)u+h(x,u) in Omega, u = 0 on partial derivative Omega. We also obtain the existence of multiple nontrivial solutions of this equation via Morse theory. (C) 2009 Elsevier Inc. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); 1; ARTICLE; 2; 447-457; 365
语种	英语
出处	SCI
出版者	数学分析与应用杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157677]
专题	数学科学学院
推荐引用方式 GB/T 7714	Sun, Ming-Zheng,Liu, Shu-Mao. Critical groups at infinity for p-Laplacian equations with indefinite nonlinearities. 2010-01-01.

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