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Journal of Convex Analysis 16 (2009), No. 1, 287--320
Copyright Heldermann Verlag 2009

Boundary Regularity for Elliptic Problems with Continuous Coefficients

Lisa Beck
Mathematisches Institut, Friedrich-Alexander-Universität, Bismarckstr. 1 1/2, 91054 Erlangen, Germany

We consider weak solutions of second order nonlinear elliptic systems in divergence form or of quasi-convex variational integrals with continuous coefficients under superquadratic growth conditions. Via the method of A-harmonic approximation we give a characterization of regular boundary points using and extending some new techniques recently developed by M. Foss and G. Mingione [Ann. Inst. Henri Poincaré Anal. Non Linéaire 25 (2008) 471--503].

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