Existence of global weak solutions for Cauchy-Dirichlet problem for evolutional p-Laplacian systems
Existence of global weak solutions for Cauchy-Dirichlet problem for evolutional p-Laplacian systems
We study the existence of global weak solutions for Cauchy-Dirichlet problem for evolutional p-Laplacian systems. The initial data is belonging to the Sobolev space W1,p(Ω, ℝn). We use a varitional (like) method to treat the existence of a weak solution, this method seems somehow simply than the Galerkin method.