Bifurcation for a Class of Fourth-Order Stationary Kuramoto-Sivashinsky Equations Under Navier Boundary Condition

Authors

  • Imed Abid

  • Soumaya Saanouni

  • Nihed Trabelsi

Keywords:

bifurcation, regularity, stability, quasilinear

Abstract

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

Imed Abid, Soumaya Saanouni, & Nihed Trabelsi. (2018). Bifurcation for a Class of Fourth-Order Stationary Kuramoto-Sivashinsky Equations Under Navier Boundary Condition. Global Journal of Science Frontier Research, 18(F8), 25–42. Retrieved from https://journalofscience.org/index.php/GJSFR/article/view/2406

Bifurcation for a Class of Fourth-Order Stationary Kuramoto-Sivashinsky Equations Under Navier Boundary Condition

Published

2018-05-15