Abstract
We prove $W^{1,p}$-interior estimates for viscosity solutions of fully nonlinear, uniformly elliptic equations. The estimates complement $C^{1,\alpha}$-regularity results of L. Caffarelli. We apply the estimates to obtain existence and uniqueness of viscosity and strong solutions of Dirichlet boundary value problems.
Citation
Andrzej Świech. "$W^1,p$-interior estimates for solutions of fully nonlinear, uniformly elliptic equations." Adv. Differential Equations 2 (6) 1005 - 1027, 1997. https://doi.org/10.57262/ade/1366638681
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