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

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

Imed Abid

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Soumaya Saanouni

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Nihed Trabelsi

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Tunis El Manar University

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

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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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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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How to Cite This Article

Imed Abid. 2019. \u201cBifurcation for a Class of Fourth-Order Stationary Kuramoto-Sivashinsky Equations Under Navier Boundary Condition\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F8): .

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GJSFR Volume 18 Issue F8
Pg. 25- 42

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 35B32, 35B65, 35B35, 35J62

Submission ReceivedNovember 14, 2018
Peer Review Double Blind
Handling Editor
Accepted December 4, 2018
Published December 17, 2018

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v1.2

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February 6, 2019

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Article Matrices

Total Score: 103

Country: Tunisia

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Imed Abid, Soumaya Saanouni, Nihed Trabelsi (PhD/Dr. count: 0)

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