Some singular minimizers in low dimensions in the calculus of variations
classification
🧮 math.AP
keywords
mathbbsingularcalculusconstructconvexdimensionsformfunctional
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We construct a singular minimizing map ${\bf u}$ from $\mathbb{R}^3$ to $\mathbb{R}^2$ of a smooth uniformly convex functional of the form $\int_{B_1} F(D{\bf u})\,dx$.
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