The uniqueness of a nonlinear diffusion equation related to the p-Laplacian
Huashui Zhan · Journal of Inequalities and Applications · 2018
Consider a nonlinear diffusion equation related to the p -Laplacian. Different from the usual evolutionary p -Laplacian equation, the equation is degenerate on the boundary due to the fact that the diffusion coefficient is dependent on the distance function. Not only the existence of the weak solution is established, but also the uniqueness of the weak solution is proved.