Existence of global weak solutions for Cauchy-Dirichlet problem for evolutional p-Laplacian systems

Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type

“…The study about Hölder regularity of gradients solution was continued in [9] for evolutionary p-Laplacian systems where the coefficients is Hölder continuous. Based on [10], the global weak solutions for similar case is exist. They used variational method to prove the existence of weak solutions globally.…”