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.
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© 2004 Elsevier Inc.
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de Figueiredoa, D.G., do Ό, J.M., Ruf, B. (2004). An Orlicz-Space Approach to Superlinear Elliptic Systems. In: Costa, D. (eds) Djairo G. de Figueiredo - Selected Papers. Springer, Cham. https://doi.org/10.1007/978-3-319-02856-9_37
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DOI: https://doi.org/10.1007/978-3-319-02856-9_37
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-02856-9
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