Bifurcation for a Class of Fourth-Order Stationary Kuramoto-Sivashinsky Equations Under Navier Boundary Condition
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.
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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
Published
2018-05-15
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This work is licensed under a Creative Commons Attribution 4.0 International License.