Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity

World Scientific Publishing Co. Pte Ltd
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(Final version) CCM-Mikyoung-Lee-Fully-nonlinear-equations.pdf - 387.22 KB
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We prove interior Hessian estimates in the setting of weighted Orlicz spaces for viscosity solutions of fully nonlinear, uniformly elliptic equations F(D2u,x)=f(x)in B1 under asymptotic assumptions on the nonlinear operator F. The results are further extended to fully nonlinear, asymptotically elliptic equations.

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