Existence and Convergence of Weak Positive Solutions of Delta-U = U-Alpha 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 - 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).

Domaines: Sciences de l'environnement

F. Pacard. Existence and Convergence of Weak Positive Solutions of Delta-U = U-Alpha in Bounded Domains of Rn, N-Greater-Than-or-Equal-to-3. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1992, 315 (7), pp.793-798. ⟨hal-00779871⟩