Shaolong Peng

Rigidity of weak solutions for anisotropic N-Laplacian equation with Neumann or Robin boundary condition

This paper is devoted to the rigidity of weak solutions for anisotropic $N$-Laplacian equations with Neumann or Robin boundary conditions on smooth bounded convex domains of $\mathbb{R}^N$. The anisotropic operator is given by $$a(\xi) = H^{N-1}(\xi)\nabla H(\xi),$$ where $H$ stands for a norm on $\mathbb{R}^N$; this f...