5 papers
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…
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. Furth…
Degenerate Mean Field Games with Hörmander diffusion
Yiming Jiang, Jingchuang Ren, Yawei Wei +1
In this paper, we study a class of degenerate mean field game systems arising from the mean field games with Hörmander diffusion, where the generic player may have a ``forbidden''…
Existence of multiple solutions for quasi-linear degenerate elliptic equations
Yawei Wei
The present paper is concerned a class of quasi-linear elliptic degenerate equations. The degenerate operator comes from the analysis of manifolds with corner singularity. Variatio…
The Mellin-Edge Quantisation for Corner Operators
Bert-Wolfgang Schulze, Yawei Wei
We establish a quantisation of corner-degenerate symbols, here called Mellin-edge quantisation, on a manifold with second order singularities. The typical ingredients come from…