Singularities in the Calculus of Variations

  • Connor MooneyEmail author
Part of the Springer INdAM Series book series (SINDAMS, volume 33)


In these notes we discuss the regularity of minimizers of convex functionals in the calculus of variations, with a focus on the vectorial case. We first treat the theory of linear elliptic systems and give some consequences. Then we discuss important singular solutions of De Giorgi, Giusti-Miranda, and Maz’ya to linear elliptic systems, and of Sverak-Yan in the nonlinear case. At the end we discuss the parabolic theory.


Elliptic and parabolic systems Singular minimizers Blowup 


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Authors and Affiliations

  1. 1.UC IrvineIrvineUSA

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