Existence and Convergence of Weak Positive Solutions of -Delta-U=un/(n-2) in Bounded Domains of Rn, N-Greater-Than-or-Equal-to-3

F. Pacard (1)

1 CERGRENE - CERGRENE

We prove the existence of infinitely many positive solutions having prescribed singularities for the problem - DELTA(u) = u(n/(n-2)) in bounded domains of R(n), n greater-than-or-equal-to 3.

Domaines: Sciences de l'environnement

F. Pacard. Existence and Convergence of Weak Positive Solutions of -Delta-U=un/(n-2) in Bounded Domains of Rn, N-Greater-Than-or-Equal-to-3. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1992, 314 (10), pp.729-734. ⟨hal-00779872⟩