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Asymptotic Study of a Boundary Value Problem Governed by the Elasticity Operator with Nonlinear Term
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作者 d.benterki H.Benseridi M.Dilmi 《Advances in Applied Mathematics and Mechanics》 SCIE 2014年第2期191-202,共12页
In this paper,a nonlinear boundary value problem in a three dimensional thin domain with Tresca’s friction law is considered.The small change of variable z=x3/εtransforms the initial problem posed in the domainΩεin... In this paper,a nonlinear boundary value problem in a three dimensional thin domain with Tresca’s friction law is considered.The small change of variable z=x3/εtransforms the initial problem posed in the domainΩεinto a new problem posed on a fixed domainΩindependent of the parameterε.As a main result,we obtain some estimates independent of the small parameter.The passage to the limit onε,permits to prove the results concerning the limit of the weak problem and its uniqueness. 展开更多
关键词 A priori inequalities free boundary problems nonlinear operator Tresca law variational problem.
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