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Gradient estimates in Orlicz spaces for nonlinear elliptic equations with BMO nonlinearity in nonsmooth domains
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Sun-Sig Byun
Published/Copyright:
April 14, 2010
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
© de Gruyter 2011
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Keywords for this article
Gradient estimates;
Orlicz spaces;
nonlinear elliptic equations;
BMO nonlinearity;
Reifenberg domains
Articles in the same Issue
- The sh-Lie algebra perturbation lemma
- Gradient estimates in Orlicz spaces for nonlinear elliptic equations with BMO nonlinearity in nonsmooth domains
- Geography of non-formal symplectic and contact manifolds
- Hp → Hp boundedness implies Hp → Lp boundedness
- Global regularity for the minimal surface equation in Minkowskian geometry
- On elementarily κ-homogeneous unary structures
- Kernels, regularity and unipotent radicals in linear algebraic monoids
- Mod-Gaussian convergence: new limit theorems in probability and number theory
- Uniform large deviation for pinned hyperbolic Brownian motion
