Abstract

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\mathcal{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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Lisa Beck

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

beck@mi.uni-erlangen.de

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Suggested citation

L. Beck. “Boundary Regularity for Elliptic Problems with Continuous Coefficients.” Journal of Convex Analysis 16 (2009), No. 1, 287–320. https://doi.org/10.68381/jca16016

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Published by Heldermann Verlag, 2009. Rights now held by Banach Press LLC.