Ngày tải lên :
14/10/2015, 08:01
... exists a, r ∈ F(B (a, r), a, r ) such that u a, r v in B (a, r) and (ddc a, r )n = µ in B (a, r) Put ua,r = a, r u in B (a, r), in Ω\B (a, r) Since a, r = u in ∂B (a, r) so ua,r ∈ P SH(Ω) We have u = ua,r ... such that w u f and (ddc u) n = µ in Ω In the following, we give an example to show that there exists a bounded domain Ω and the non-negative measure µ in Cn such that the MongeAmp`ere equation ... Lemma 3.3 in [1] and Lemma 3.6 in [1] we get max(ua,rj+1 , ua,rj ) = ua,rj in B (a, rj+1 ) Thus, ua,rj+1 ua,rj in B (a, rj+1 ) This proves the claim Put ga,r = limj→+∞ ua,rj We have u g v in Ω...