Gradient boundedness in spherical cones holds precisely when the first nontrivial cross-sectional Laplacian eigenvalue is ≥ N−1; weighted Lipschitz and second-order estimates hold for p-Laplace equations.
Antonini,Smooth approximation of Lipschitz domains, weak curvatures and isocapacitary estimates, Calc
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Regularity results for elliptic equations on cones
Gradient boundedness in spherical cones holds precisely when the first nontrivial cross-sectional Laplacian eigenvalue is ≥ N−1; weighted Lipschitz and second-order estimates hold for p-Laplace equations.