Global Attractors Of Weighted P-Laplace Equation With A Damping Term

This article is devoted to study the asymptotic behavior for a dynamical system generated by a nonlinear weighted p-Laplace equation that reads(?)where ? is a bounded open domain in Rn with a sufficiently smooth boundary(?)?,p>1,a(x),b(x)?C1(Q),and a(x)>0 in ?,a(x)=0 on(?)? which satisfy (?) as u0 ? L2(?),then it has a unique weak solution satisfies(?)u?Lp(0,T;W01,p(a,?)),u?([0,T];L2(?)).Next,using a time dependent prior estimate,the existence of global attractor in L2(?)and W01,p(?)is given.Finally,upper semi-continuity of global attractors is con-sidered.