Gradient estimates in Orlicz spaces for nonlinear elliptic equations with BMO nonlinearity in nonsmooth domains

Sun-Sig Byun

doi:10.1515/form.2011.024

Published by De Gruyter April 14, 2010

Gradient estimates in Orlicz spaces for nonlinear elliptic equations with BMO nonlinearity in nonsmooth domains

Sun-Sig Byun

From the journal Forum Mathematicum

https://doi.org/10.1515/form.2011.024

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Abstract

We find an optimal gradient estimate in Orlicz spaces for a nonlinear elliptic equation in divergence form with discontinuous nonlinearity in a non-smooth domain.

Keywords.: Gradient estimates; Orlicz spaces; nonlinear elliptic equations; BMO nonlinearity; Reifenberg domains

Received: 2009-01-16

Revised: 2009-07-09

Published Online: 2010-04-14

Published in Print: 2011-July

Gradient estimates in Orlicz spaces for nonlinear elliptic equations with BMO nonlinearity in nonsmooth domains

Abstract

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