Regularity theory for superquadratic energy functionals related to nonlinear Hencky materials in three dimensions

• Autorzy: Breit D.
• Języki publikacji: EN

Abstrakty

EN

In this paper we discuss partial regularity results concerning local minimizers u:R3 ⊃ Ω → R3 of variational integrals of the form ∫ Ω {α(|div(w)|)+b(|εD(w)|)}dx, where a and b are N-functions of rather general type. We prove partial regularity results under quite natural conditions between a and b. Furthermore we can extend this to the non-autonomous situation which finally leads to the study of minimizers of the functional ∫ Ω{(1+|div(w)|2)p(x)/2+(1+|εD(w)|2)q(x)/2}dx, where p and q are Lipschitz-functions.

Słowa kluczowe

EN

local minimizers; non-standard growth; nonlinear Hencky materials; partial regularity

PL

minimizer lokalny; prawidłowość częściowa

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2012
• Tom: Vol. 18, nr 1
• Strony: 1--31
• Opis fizyczny: Bibliogr. 40 poz.

Twórcy

autor

Breit D.

• Department of Mathematics, Saarland University, P.O. Box 15 11 50, 66041 Saarbrucken, Germany,

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