Calculus of Variations and Geometric Measure Theory
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L. Beck

Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case

created by beck on 11 Nov 2009


Published Paper

Inserted: 11 nov 2009

Journal: Manuscr. Math.
Volume: 123
Pages: 453-491
Year: 2007


We consider weak solutions of second order nonlinear elliptic systems of divergence type under subquadratic growth conditions. Via the method of $\mathcal{A}$-harmonic approximation we give a characterization of regular points up to the boundary which extends known results from the quadratic and superquadratic case. The proof yields directly the optimal higher regularity on the regular set.


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