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arXiv · 1901.02673

Gradient estimates for nonlinear elliptic equations with first order terms

Stefano Buccheri
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Abstract

We study existence and Lorentz regularity of distributional solutions to elliptic equations with either a convection or a drift first order term. The presence of such a term makes the problem not coercive. The main tools are pointwise estimates of the rearrangements of both the solution and its gradient.

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Stefano Buccheri. 2019-01-09. Gradient estimates for nonlinear elliptic equations with first order terms. https://doi.org/10.1007/s00229-020-01210-5

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