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arxiv: 1205.1985 · v3 · pith:L2FX44ONnew · submitted 2012-05-09 · 🧮 math.AP

Singularities of Nonlinear Elliptic Systems

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keywords ellipticnonlinearspacessystemscapacitiesclasscontentsdimensions
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Through Morrey's spaces (plus Zorko's spaces) and their potentials/capacities as well as Hausdorff contents/dimensions, this paper estimates the singular sets of nonlinear elliptic systems of the even-ordered Meyers-Elcrat type and a class of quadratic functionals inducing harmonic maps.

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