Resumen de On regularity of the extremal solution of the Dirichlet problem for some semilinear elliptic equations of the second order

S. Eidelman, Y. Eidelman

• We consider the problem on the regularity of the extremal positive solution of the Dirichlet problem for superlinear elliptic equations with a positive parameter. We prove the smoothness of the extremal solution for a certain class of nonlinearities. In this class we distinguish a subclass of functions for which the extremal solution is classical in the space of any dimension