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A reverse Hölder inequality for the gradient of solutions to Trudinger's equation (1910.10498v3)
Published 23 Oct 2019 in math.AP
Abstract: We provide a higher integrability result for the gradient of positive solutions to Trudinger's equation (also known as the doubly non-linear equation) for the range $p\in [2,\infty)$. The estimate is achieved by refining a construction of intrinsic cylinders from the vectorial setting by incorporating estimates only available in the scalar case.
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