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. (c) 2004 Elsevier Inc. All rights reserved.
An Orlicz-space approach to superlinear elliptic systems / D.G. de Figueiredo, J. Marcos do O', B. Ruf. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 224:2(2005 Jul 15), pp. 471-496.
An Orlicz-space approach to superlinear elliptic systems
B. RufUltimo
2005
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. (c) 2004 Elsevier Inc. All rights reserved.
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