Vector-valued obstacle problems for non-local energies

Matteo  Focardi

doi:10.3934/dcdsb.2012.17.487

Article Contents

2012, Volume 17, Issue 2: 487-507. Doi: 10.3934/dcdsb.2012.17.487

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Vector-valued obstacle problems for non-local energies

Matteo Focardi^1,

1.
Dip. Mat. “U. Dini”, Università di Firenze, V.le Morgagni 67/A, I-50134 Firenze

Received: October 31, 2010

Revised: February 28, 2011

Published: February 2012

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Abstract

We investigate the asymptotics of obstacle problems for non-local energies in a vector-valued setting. Motivations arise, in particular, in phase field models for ferroelectric materials and variational theories for dislocations.

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Mathematics Subject Classification: Primary: 74Q15, 35R11, 49J40.

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