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Displaying similar documents to “Eigenvalues of the p -Laplacian in 𝐑 N with indefinite weight”

Multiple solutions of semilinear elliptic systems

Yang Jianfu (1998)

Commentationes Mathematicae Universitatis Carolinae

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We obtain in this paper a multiplicity result for strongly indefinite semilinear elliptic systems in bounded domains as well as in N .

On the existence of infinitely many solutions for a class of semilinear elliptic equations in R N

Francesca Alessio, Paolo Caldiroli, Piero Montecchiari (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We show, by variational methods, that there exists a set A open and dense in a L R N : a 0 such that if a A then the problem - u + u = a x u p - 1 u , u H 1 R N , with p subcritical (or more general nonlinearities), admits infinitely many solutions.