On certain singular solutions of the partial differential equation ux2uxx+2uxuyuxy+uy2uyy=0
- Cite this article as:
- Aronsson, G. Manuscripta Math (1984) 47: 133. doi:10.1007/BF01174590
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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.