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This is a Quantitative Study study.

Existence results of Dirichlet problem for cone degenerate p-Laplace equations

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Existence of viscosity solutions is established through domain approximation and function convergence.
Aleksandrov–Bakelman–Pucci and Hölder estimates are provided by defining cone distance and examining cone gradients.
A bounded viscosity solution is also shown to be a weak solution with a special test function.
The study focuses on the Dirichlet problem for non-divergence nonlinear elliptic equations driven by the cone degenerate p-Laplacian.

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Analysis demonstrates existence of weak and viscosity solutions in nonlinear elliptic equations, highlighting cone gradients.

Chen et al. (2025) studied this question.

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