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Gradient estimates for nonlinear elliptic equations with first order terms

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We study existence and Lorentz regularity of distributional solutions to elliptic equations with measurable coefficients and either a convection or a drift first order term. The presence of such a… Click to show full abstract

We study existence and Lorentz regularity of distributional solutions to elliptic equations with measurable coefficients and 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.

Keywords: gradient estimates; estimates nonlinear; elliptic equations; first order

Journal Title: manuscripta mathematica
Year Published: 2019

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