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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.
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Rocznik
Tom
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1--31
Opis fizyczny
Bibliogr. 40 poz.
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autor
- Department of Mathematics, Saarland University, P.O. Box 15 11 50, 66041 Saarbrucken, Germany, dominic.breit@math.uni-sb.com
Bibliografia
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Bibliografia
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