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.
Gradient estimates for nonlinear elliptic equations with first order terms / Buccheri, S.. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - 165:1-2(2021), pp. 191-225. [10.1007/s00229-020-01210-5]
Gradient estimates for nonlinear elliptic equations with first order terms
Buccheri S.
2021
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.File in questo prodotto:
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