Convergence and Partial Regularity for Weak Solutions of Some Nonlinear Elliptic Equation - the Supercritical Case

F. Pacard (1)

1 CERGRENE - CERGRENE

In this paper we prove a partial regularity result for stationary weak solutions of -DELTA u = u(alpha), when alpha is greater than the critical Sobolev exponent.

Domaines: Sciences de l'environnement

F. Pacard. Convergence and Partial Regularity for Weak Solutions of Some Nonlinear Elliptic Equation - the Supercritical Case. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1994, 11 (5), pp.537-551. ⟨hal-00779869⟩