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