In this paper, we study the bifurcation of semilinear elliptic problem of fourth-order with Navier boundary conditions. We discuss the existence and the uniqueness of a positive solution and we also prove the existence of critical value and the uniqueness of extremal solutions. We take into account the types of problems of bifurcation for a class of elliptic problems we also establish the asymptotic behavior of the solution around the bifurcation point.

How to Cite
ABID, SOUMAYA SAANOUNI, NIHED TRABELSI, Imed. Bifurcation for a Class of Fourth-Order Stationary Kuramoto-Sivashinsky Equations Under Navier Boundary Condition. Global Journal of Science Frontier Research, [S.l.], feb. 2019. ISSN 2249-4626. Available at: <https://journalofscience.org/index.php/GJSFR/article/view/2406>. Date accessed: 19 june 2021.