Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions

The three-well problem consists in looking for minimizers u : Ω ⊂ R3 → R3 of a functional I (u) = ∫Ω W (∇ u) d x, where the elastic energy W models the tetragonal phase of a phase-transforming material. In particular, W attains its minimum on K = {n-ary union}i = 13 SO (3) Ui, with Ui being the thre...

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Príomhchruthaitheoirí: Conti, S, Dolzmann, G, Kirchheim, B
Formáid: Journal article
Teanga:English
Foilsithe / Cruthaithe: 2007