Please can someone tel me where i can find"Let (u_j) be a bounded sequence from $W^{1,p}(\Omega)$ how to prove that there exists a subsequence such that $u_j\rightharpoonup u$ in $W^{1,p}_0(\Omega)$ and $|\nabla u_j|\rightharpoonup d\mu,$ $|u_j|^{p^*}\rightharpoonup d\nu$ weakly* in the proofsense of this :
Thank youmeasures."
Please can someone tel me where i can find the proof of this :
Thank you
"Let (u_j) be a bounded sequence from $W^{1,p}(\Omega)$ how to prove that there exists a subsequence such that $u_j\rightharpoonup u$ in $W^{1,p}_0(\Omega)$ and $|\nabla u_j|\rightharpoonup d\mu,$ $|u_j|^{p^*}\rightharpoonup d\nu$ weakly* in the sense of measures."
