Abstract
The partial differential equation treated here is the formal limit of the p-harmonic equation in R2, for p→∞. Questions related to the smoothness of solutions and the possible existence of stationary points are central for the theory. The “singular” solutions constructed here bring new light on these questions.
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Aronsson, G. On certain singular solutions of the partial differential equation u 2x uxx+2uxuyuxy+u 2y uyy=0. Manuscripta Math 47, 133–151 (1984). https://doi.org/10.1007/BF01174590
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DOI: https://doi.org/10.1007/BF01174590