On a $p$-Laplacian type of evolution system and applications to the Bean model in the type-II superconductivity theory

Hong-Ming Yin

We study the Cauchy problem for an $p$-Laplacian type of evolution system ${\mathbf H}_{t}+\g [ | \g {\mathbf H}|^{p-2} \g {\mathbf H}|]={\mathbf F}$. This system governs the evolu…