Title: Weighted eigenvalue problems involving a fourth-order elliptic equation with variable exponent
Authors: Abdesslem Ayoujil
Addresses: Department of Mathematics, Regional Centre of Trades Education and Training, Oujda, Morocco
Abstract: In this paper, we consider weighted fourth order nonhomogeneous elliptic problem with variable exponent. Under appropriate conditions, interval of a numerical parameter sufficiently small is derived for which the existence results are obtained. The proof relies on simple variational arguments based on Ekeland's variational principle.
Keywords: p(x)-biharmonic operator; eigenvalue; Ekeland's variational principle; generalised Sobolev spaces; mountain pass theorem; weak solution.
International Journal of Dynamical Systems and Differential Equations, 2018 Vol.8 No.1/2, pp.66 - 76
Available online: 05 Jan 2018 *Full-text access for editors Access for subscribers Free access Comment on this article