In the present paper, by using the direct variational method and the Ekeland variational principle, we study the existence of solutions for an elliptic system of p(x)-Kirchhoff-type under Neumann boundary condition and show the existence of a weak solution.
Yucedag, Z., Avci, M., & Mashiyev, R. (2012). On an elliptic system of p(x)-Kirchhoff-type under neumann boundary condition. Mathematical Modelling and Analysis, 17(2), 161-170. https://doi.org/10.3846/13926292.2012.655788
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