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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.AP2025
Removable singularities and Harnack inequality for nonlinear Hörmander degenerate subelliptic equations
Jiayi Qiang, Yawei Wei, Mengnan Zhang
This paper concerns the quasilinear subelliptic function derived from Hörmander vector fields. Based on the significant work of J. Serrin in \cite{SER}, M. Meier in \cite{MM1}, an…
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…