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Nonlinear elliptic boundary value problem with equivalued surface in a domain with thin layer

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Indexed by:期刊论文

Date of Publication:2010-01-01

Journal:NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Included Journals:SCIE、Scopus

Volume:17

Issue:6

Page Number:729-755

ISSN No.:1021-9722

Key Words:Renormalized solution; Existence; Uniqueness; Equivalued surface; Equivalued interface; Nonlinear elliptic equations; Limit behaviour of solutions

Abstract:This paper deals with certain kinds of boundary value problems with equivalued surface of nonlinear elliptic equations on a domain with thin layer We introduce the concept of renormalized solution to this problem Existence and uniqueness of renormalized solutions are given, and the limit behaviour of solutions is studied in this paper

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