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

Authors :: Byun, Sun-Sig
Source :: Forum Mathematicum. 2011, Vol. 23 Issue 4, p693-711. 19p.
Publication Year :: 2011
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. [ABSTRACT FROM AUTHOR]

Subjects :: *CONJUGATE gradient methods
*ESTIMATION theory
*ORLICZ spaces
*BOUNDED mean oscillation
*NONLINEAR theories
*ELLIPTIC differential equations
*STOCHASTIC convergence
*CONTINUOUS functions
*SMOOTHNESS of functions

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