Singular limit problem for some elliptic systems

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Abstract

For the sharp interface problem arising in the singular limit of some elliptic systems, we prove the existence and the nondegeneracy of solutions whose interface is a distorted circle in a two-dimensional bounded domain without any assumption on the symmetry of the domain.

Original languageEnglish
Pages (from-to)1886-1911
Number of pages26
JournalSIAM Journal on Mathematical Analysis
Volume38
Issue number6
DOIs
Publication statusPublished - 2007

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Keywords

  • Elliptic system
  • Sharp interface
  • Singular perturbation

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics
  • Numerical Analysis

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