A-Priori Regularity for Weak Solutions of Some Nonlinear Elliptic-Equations

F. Pacard (1)

1 CERGRENE - CERGRENE

Let f(u) be some positive regular function bounded from above by u n/n-2, in R+. We derive some necessary and sufficient conditions, in order for all positive solutions to -DELTAu = f(u) is-an-element-of L(loc)1 (R(n)) to be regular.

Domaines: Sciences de l'Homme et Société; Economies et finances

F. Pacard. A-Priori Regularity for Weak Solutions of Some Nonlinear Elliptic-Equations. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1994, 11 (6), pp.693-703. ⟨hal-00779880⟩