Caccioppoli-type inequalities for the Dunkl-$A$-Laplacian and their application to nonexistence result

Athulya P, Sandeep Kumar Verma

For a suitable function $A:{\mathbb{R}}^n\to {\mathbb{R}}^n$, we introduce the $A$-Laplacian in the Dunkl framework as ${\Delta }_{k,A}(u)={\text{div}}_k(A({\nabla }_{k}u))$, where ${\nabla }_k$ is the…