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Type: Artigo de periódico
Title: Strongly indefinite functionals and multiple solutions of elliptic systems
Author: De Figueiredo, DG
Ding, YH
Abstract: We study existence and multiplicity of solutions of the elliptic system (GRAPHICS) where Omega subset of R-N; Ngreater than or equal to3, is a smooth bounded domain and His an element ofC(1) ((Omega) over barx R-2, R). We assume that the nonlinear term (GRAPHICS) where p is an element of (1, 2*), 2* := 2N/(N-2), and q is an element of (1,infinity). So some supercritical systems are included. Nontrivial solutions are obtained. When H(x, u, v) is even in (u, v), we show that the system possesses a sequence of solutions associated with a sequence of positive energies (resp. negative energies) going toward infinity (resp. zero) if p>2 (resp. p<2). All results are proved using variational methods. Some new critical point theorems for strongly indefinite functionals are proved.
Subject: elliptic system
multiple solutions
critical point theory
Country: EUA
Editor: Amer Mathematical Soc
Citation: Transactions Of The American Mathematical Society. Amer Mathematical Soc, v. 355, n. 7, n. 2973, n. 2989, 2003.
Rights: aberto
Identifier DOI: 10.1090/S0002-9947-03-03257-4
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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