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The existence of three nontrivial solutions of a class of elliptic systems

โœ Scribed by Zhao Peihao; Zhou Wujie; Zhong Chengkui


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
114 KB
Volume
49
Category
Article
ISSN
0362-546X

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## In this paper, we consider a problem of the type -AU = X(j(u)+pg(u)) in R, ~10~ = 0, where R c R" is an open-bounded set, f,g are continuous real functions on Fl, and X,/J E R. As an application of a new approach to nonlinear eigenvalues problems, we prove that, under suitable hypotheses, if 1