Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 26, pp. 1-10.
Title: A fixed point method for nonlinear equations involving a duality
mapping defined on product spaces
Authors: Jenica Cringanu (Univ.of Galati, Galati, Romania)
Daniel Pasca (Univ. of Oradea, Romania)
Abstract:
The aim of this paper is to obtain solutions for the equation
$$
J_{q,p} (u_1,u_2) =N_{f,g}(u_1,u_2),
$$
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 $\varphi_1(t)=t^{q-1}$, $\varphi_2(t)=t^{p-1}$,
$1