Shadows of infinities
classification
🧮 math.AP
keywords
powersummablesupersolutionstheydichotomydiffusioneitherequation
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We study unbounded "supersolutions" of the Evolutionary $p$-Laplace equation with slow diffusion. They are the same functions as the viscosity supersolutions. A fascinating dichotomy prevails: either they are locally summable to the power $p-1+\tfrac{n}{p}-0$ or not summable to the power $p-2+0.$
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