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Nonlinear gradient estimates for elliptic equations of general type

2014.03.24 18:57

실적년도	2011 년
논문구분	국외
총저자	Sun-Sig Byun Lihe Wang
학술지명	Calculus of Variations and PDEs
권(Vol.)
호(No.)
게재년월	년 월
Impact Factor
SCI 등재
비고

We study a very general model of nonvariational elliptic equations of p-Laplacian
type. We prove the W1,q -estimates for each q > p regarding such a nonlinear elliptic
equation in divergence form under the assumption that for each point and for each sufficiently
small scale the nonlinearity is suitably close to a vector of the gradient in BMO space. In the
same spirit our results can be easily extended to Orlicz spaces as well.

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