Existence And Convergence Of Positive Weak Solutions Of Delta-U = U(N/N-2) In Bounded Domains Of R(N), N-Greater-Than-Or-Equal-To-3
For the equation -DELTAu = u(n/N-2) in OMEGA subset-of R(n), we prove the existence of positive weak solutions with prescribed singular set. We also prove the existence of sequences of weak solutions which converge weakly but not strongly in L(n/n-2)(OMEGA).
243–265
1
3
1993
Calculus of Variations and Partial Differential Equations
F.Pacard