Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 428

Partial regularity for almost minimizers of quasiconvex integrals

Frank Duzaar, Andreas Gastel and Joseph F. Grotowski

We consider almost minimizers of variational integrals whose integrands are quasiconvex. Under suitable growth conditions on the integrand and on the function determining the almost minimality, we establish almost everywhere regularity for almost minimizers, and obtain results on the regularity of the gradient away from the singular set. We give examples of problems from the calculus of variations whose solutions can be viewed as such almost minimizers.

---

Get a gzip-compressed PostScript copy of this preprint
preprint428.ps.gz (133 kB)

---