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math.AP2026
Existence results for nonlinear cone degenerate Laplace equations
Hua Chen, Xiaochun Liu, Yawei Wei +1
This paper concerns a class of non-divergence nonlinear elliptic equations driven by the cone degenerate Laplacian, which is motivated by cone calculus. We establish the existence…
math.AP2024
Existence and uniqueness for cone degenerate p-Laplace equation
Hua Chen, Jiangtao Hu, Xiaochun Liu +2
In this paper, we study the cone degenerate p-Laplace equation. We provide the existence of the viscosity solutions by proving Alexandrov-Bakelman-Pucci and Hölder estimates. Furt…