On the bilaplacian problem with nonlinear boundary conditions

被引:0
作者
Hacene Saker
Naila Bouselsal
机构
[1] University of Badji Mokhtar,L.M.A. Department of Mathematics, Faculty of Sciences
来源
Indian Journal of Pure and Applied Mathematics | 2016年 / 47卷
关键词
Boundary integral equation method; Pseudo-differential operator; Nonlinear boundary conditions;
D O I
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学科分类号
摘要
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.
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页码:425 / 435
页数:10
相关论文
共 7 条
  • [1] Browder F. E.(1963)Nonlinear elliptic boundary value problems I. Bull. Am. Math. Soc. 69 862-875
  • [2] Minty G.(1962)Monotone operators in Hilbert spaces Duke Math. J. 29 341-346
  • [3] Ruotsalainen K.(1988)On the boundary element method for some nonlinear boundary value problems Numerische. Mathematik 53 299-314
  • [4] Wendland W.(2005)On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation Complex Variables 50 681-696
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