A Quantitative Characterisation of Functions with Low Aviles Giga Energy on Convex Domains

  • ANDREW LORENT
  • Published 2009

Abstract

Given a connected Lipschitz domain Ω we let Λ(Ω) be the subset of functions in W 2,2(Ω) whose gradient (in the sense of trace) satisfies ∇u(x)·ηx = 1 where ηx is the inward pointing unit normal to ∂Ω at x. The functional Iǫ(u) = 1 2 R

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Cite this paper

@inproceedings{LORENT2009AQC, title={A Quantitative Characterisation of Functions with Low Aviles Giga Energy on Convex Domains}, author={ANDREW LORENT}, year={2009} }