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摘要
The aim of this paper is to obtain solutions for the equation
J(q, p)(u(1), u(2)) = N-f,N- g(u(1), u(2))
where J(q, p) is the duality mapping on a product of two real, reflexive and smooth Banach spaces X-1, X-2, corresponding to the gauge functions phi(1)(t) = t(q-1), phi(2)(t) = t(p-1), 1 < q, p < infinity, N-f,N- g being the Nemytskii operator gene rated by the Caratheodory functions f, g which satisfies some appropriate conditions. To prove the existence solutions we use a topological method via Leray-Schauder degree. As applications, we obtained in a unitary manner some existence results for Dirichlet and Neumann problems for systems with (q, p)-Laplacian,with(q, p)-pseudo-Laplacian or with (A(q), A(p))-Laplacin.
- 出版日期2013-1-27
