On the bilaplacian problem with nonlinear boundary conditions

Hacene Saker () and Naila Bouselsal ()
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Hacene Saker: University of Badji Mokhtar
Naila Bouselsal: University of Badji Mokhtar

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 3, 425-435

Abstract: Abstract In this paper, we present a study for a nonlinear problem governed by the biharmonic equation in the plane. Using Green’s formula, the problem is converted into a system of nonlinear integral equations for the unknown data of the boundary. Existence and uniqueness of the solution of the system of nonlinear boundary integral equations is established.

Keywords: Boundary integral equation method; Pseudo-differential operator; Nonlinear boundary conditions (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13226-016-0178-3

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