Critical and subcritical elliptic systems in dimension two | Zendy

Djairo G. de Figueiredo | Zendy; João Marcos do Ó | Zendy; Bernhard Ruf | Zendy

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Critical and subcritical elliptic systems in dimension two

Author(s) -

Djairo G. de Figueiredo,

João Marcos do Ó,

Bernhard Ruf

Publication year - 2004

Publication title -

indiana university mathematics journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.317

H-Index - 69

eISSN - 1943-5258

pISSN - 0022-2518

DOI - 10.1512/iumj.2004.53.2402

Subject(s) - mathematics , dimension (graph theory) , pure mathematics , mathematical analysis

In this paper we study the existence of nontrivial solutions for the following system of two coupled semilinear Poisson equations: - Deltau = g(u), v > in Omega, (S) -Deltau = f (u), u > in Omega, u = 0, v = 0, on partial derivativeOmega, where Omega is a bounded domain in R-2 with smooth boundary partial derivativeOmega, and the functions f and g have the maximal growth which allow us to treat problem (S) variationally in the Sobolev space H-0(1) (Omega). We consider the case with nonlinearities in the critical growth range Suggested by the so-called Trudinger-Moser inequality

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