Nonlinear Steklov eigenvalue problem with variable exponents and without Ambrosetti-Rabinowitz condition Online publication date: Fri, 05-Jan-2018
by Abdellah Zerouali; Belhadj Karim; Omar Chakrone
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 8, No. 1/2, 2018
Abstract: In this paper, we study a nonlinear Steklov eigenvalue problem involving the p(x)-Laplacian on a bounded domain. We introduce a new variational technic that allows us to investigate this problem without need of the Ambrosetti-Rabinowitz condition on the nonlinearity.
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