Existence and Convergence of Weak Positive Solutions of Delta-U = U-Alpha in Bounded Domains of Rn, N-Greater-Than-or-Equal-to-3
Abstract
We prove the existence of infinitely many positive solutions having prescribed singularities for the problem - DELTAu = u(alpha) in bounded domains of R(n) when n greater-than-or-equal-to 3 and alpha is close enough to n/(n - 2).