An Orlicz-Space Approach to Superlinear Elliptic Systems

Djairo G. de Figueiredoa, João Marcos do Ό and Bernhard Ruf
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Djairo G. de Figueiredoa: Univ. Estadual di Campinas, IMECC
João Marcos do Ό: Univ. Federal Paraíba, Dep. de Matemática
Bernhard Ruf: Università degli Studi, Dip. di Matematica

A chapter in Djairo G. de Figueiredo - Selected Papers, 2004, pp 573-598 from Springer

Abstract: Abstract In this paper we study superlinear elliptic systems in Hamiltonian form. Using an Orlicz-space setting, we extend the notion of critical growth to superlinear nonlinearities which do not have a polynomial growth. Existence of nontrivial solutions is proved for superlinear nonlinearities which are subcritical in this generalized sense.

Keywords: Elliptic system; Critical growth; Orlicz space; Variational methods (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-02856-9_37

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DOI: 10.1007/978-3-319-02856-9_37

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