Blow-up of positive solutions of a second-order semilinear elliptic equation with lower derivatives and with singular potential

摘要

We shall study the question of the blow-up of the nonnegative and everywhere defined solutions of Eq.(1.1)in B_R~C. The question of the existence or the blow-up of nonnegative solutions of weakly linear elliptic equations is of great importance in the theory of elliptic equations and has been studied in many papers and books. For a survey of such works, see the monograph [1].